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  Subjects -> MATHEMATICS (Total: 968 journals)
    - APPLIED MATHEMATICS (81 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (41 journals)
    - NUMERICAL ANALYSIS (22 journals)
    - PROBABILITIES AND MATH STATISTICS (90 journals)

MATHEMATICS (714 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 31)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 4)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 14)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Science     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 12)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 6)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 9)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 2)
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 12)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 3)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 21)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 12)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 30)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  

        1 2 3 4 | Last

Journal Cover
Asian-European Journal of Mathematics
Journal Prestige (SJR): 0.168
Number of Followers: 2  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1793-5571 - ISSN (Online) 1793-7183
Published by World Scientific Homepage  [118 journals]
  • A note on two-variable Lommel matrix functions
    • Authors: Ayman Shehata
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      The aim of the present work is to develop a pair of Lommel matrix functions of two variables suggested by the Bessel matrix functions and some of their properties are studied to be special cases of our results.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:01:25Z
      DOI: 10.1142/S1793557118500419
       
  • A reductive case on derivations in Vinberg [math] rings
    • Authors: G. Lakshmi Devi, K. Jayalakshmi
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      In this paper, we describe the reductive pair [math] with fixed decomposition [math] and construct a reductive Vinberg [math] ring relative to [math] which is based on the construction of nonassociative algebras with specified simple Lie algebra [math] of derivations. As a special case, we construct a class of Vinberg [math] algebras ([math], [math] of dimension 8 with [math] [math] and determine its associated reductive Lie algebra [math] [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:01:20Z
      DOI: 10.1142/S1793557118500377
       
  • On analogues of Baer’s theorems for widely supersoluble hypercenter
           of finite groups
    • Authors: Viachaslau I. Murashka
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      In this paper, the widely supersoluble hypercenter of finite groups was studied and a new criterion of widely supersolubility of finite groups was obtained.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:01:14Z
      DOI: 10.1142/S1793557118500432
       
  • On the matrices with the generalized hyperharmonic numbers of order [math]
    • Authors: Neşe Ömür, Sibel Koparal
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      In this paper, we define two [math] matrices [math] and [math] with [math] and [math] respectively, where [math] are a generalized hyperharmonic numbers of order [math]. We give some new factorizations and determinants of the matrices [math] and [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:01:08Z
      DOI: 10.1142/S1793557118500456
       
  • Counter examples to a conjecture concerning harmonic index
    • Authors: Akbar Ali
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      A recently proposed conjecture by Cheng and Wang [A lower bound for the harmonic index of a graph with minimum degree at least three, Filomat 30(8) (2016) 2249–2260] about the harmonic index is disproved.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:01:03Z
      DOI: 10.1142/S1793557118500353
       
  • Modular group algebras of Lie nilpotency index [math]
    • Authors: Meena Sahai, Bhagwat Sharan
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      For a group algebra [math] of a group [math] over a field [math] of characteristic [math], it is well known that [math] is the minimal upper as well as the minimal lower Lie nilpotency index. Group algebras of upper Lie nilpotency index upto [math] have already been characterized completely. In this paper, we classify the modular group algebra [math] having upper Lie nilpotency index [math] which is the possible next higher Lie nilpotency index.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:52Z
      DOI: 10.1142/S1793557118500390
       
  • Symmetry analysis and some new exact solutions of some nonlinear KdV-like
           equations
    • Authors: A. H. Abdel Kader, M. S. Abdel Latif, F. El Bialy, A. Elsaid
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      In this paper, we obtained some new exact solutions of some nonlinear KdV-like equations using Lie point symmetry and [math]-symmetry methods. The obtained solutions are in the form of doubly periodic, bright and dark soliton solutions.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:46Z
      DOI: 10.1142/S1793557118500407
       
  • Functional equations with division and regular operations
    • Authors: Sergey Davidov, Aleksandar Krapež, Yuri Movsisyan
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      Functional equations are equations in which the unknown (or unknowns) are functions. We consider equations of generalized associativity, mediality (bisymmetry, entropy), paramediality, transitivity as well as the generalized Kolmogoroff equation. Their usefulness was proved in applications both in mathematics and in other disciplines, particularly in economics and social sciences (see J. Aczél, On mean values, Bull. Amer. Math. Soc. 54 (1948) 392–400; J. Aczél, Remarques algebriques sur la solution donner par M. Frechet a l’equation de Kolmogoroff, Pupl. Math. Debrecen 4 (1955) 33–42; J. Aczél, A Short Course on Functional Equations Based Upon Recent Applications to the Social and Behavioral Sciences, Theory and decision library, Series B: Mathematical and statistical methods (D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1987); J. Aczél, Lectures on Functional Equations and Their Applications (Supplemented by the author, ed. H. Oser) (Dover Publications, Mineola, New York, 2006); J. Aczél, V. D. Belousov and M. Hosszu, Generalized associativity and bisymmetry on quasigroups, Acta Math. Acad. Sci. Hungar. 11 (1960) 127–136; J. Aczél and J. Dhombres, Functional Equations in Several Variables (Cambridge University Press, New York, 1991); J. Aczél and T. L. Saaty, Procedures for synthesizing ratio judgements, J. Math. Psych. 27(1) (1983) 93–102). We use unifying approach to solve these equations for division and regular operations generalizing the classical quasigroup case.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:39Z
      DOI: 10.1142/S179355711850033X
       
  • On generalizations of certain nonlinear integral inequalities and their
           applications
    • Authors: S. G. Latpate
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      The aim of this paper is to generalize some integral inequalities of Gronwall–Bellman type. We generalize the results presented by Pachpatte in [Inequalities for Differential and Integral Equations (Academic Press, New York, 1998)] and Abdeldaim in [On some generalizations of certain retarded nonlinear integral inequalities with iterated integrals and an application in retarded differential equation, J. Egypt. Math. Sci. Lett. 23 (2015) 470–475] and also establish some new forms.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:34Z
      DOI: 10.1142/S1793557118500328
       
  • Complex symmetric operators and semiclassical resonances
    • Authors: Bekkai Messirdi, Sofiane Messirdi, Miloud Messirdi
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      Unbounded complex symmetric operators on Hilbert space are discussed and various spectral results on these operators are presented in this paper. In addition, we show that the technique of complex scaling allows one to identify the quantum resonances of complex self-adjoint Schrödinger Hamiltonians.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:29Z
      DOI: 10.1142/S1793557118500444
       
  • Controllability and observability of LTV systems -bond graph approach-
    • Authors: Abderrahim Frih, Zakaria Chalh, Mostafa Mrabti
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      In this paper, a new methodology is proposed to determinate the controllability and the observability matrices of linear time varying systems modeled by bond graph. As the bond graph model can be viewed as a state space representation and as a module (algebraic approach), the determination of controllability and observability matrices is presented with the graphical approach. The equivalence between the two approaches (Graphic, Mathematical) is proposed and a graphical methodology is pointed out directly on the bond graph representation.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:23Z
      DOI: 10.1142/S1793557118500389
       
  • Exhaustion 2-subsets in dihedral groups of order [math]
    • Authors: Denis Chee Keong Wong, Kuan Wai Wong, Wun-She Yap
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      Let [math] be the dihedral group of order [math], where [math] is an odd prime. A nonempty subset [math] of [math] is said to be exhaustive if there exists a positive integer [math] such that [math] covers all elements in [math]. The smallest such [math] is called the exhaustion number of [math]. In general, finding [math] for an arbitrary subset [math] of [math] is an interesting but difficult task. In this paper, we classify all possible exhaustion 2-subsets in [math] by considering a 2-subset [math] of [math] with either [math] or [math] and [math]. Some explicit formulas for [math] are identified and hence some bounds are derived to prove the existence for certain families of exhaustive sets.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:17Z
      DOI: 10.1142/S179355711850047X
       
  • Some integral identities for products of Airy functions using integral
           transforms
    • Authors: Alireza Ansari, Mohammad Rasool Masomi
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      In this paper, using the integral identities of Bessel functions, we obtain new integral identities for the products of Airy functions. We get various integrals involving the Widder potential, the Fourier sine and cosine transforms of the products of Airy functions in terms of some special functions.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:12Z
      DOI: 10.1142/S1793557118500468
       
  • Twin signed total Roman domination numbers in digraphs
    • Authors: J. Amjadi, M. Soroudi
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      Let [math] be a finite simple digraph with vertex set [math] and arc set [math]. A twin signed total Roman dominating function (TSTRDF) on the digraph [math] is a function [math] satisfying the conditions that (i) [math] and [math] for each [math], where [math] (respectively [math]) consists of all in-neighbors (respectively out-neighbors) of [math], and (ii) every vertex [math] for which [math] has an in-neighbor [math] and an out-neighbor [math] with [math]. The weight of an TSTRDF [math] is [math]. The twin signed total Roman domination number [math] of [math] is the minimum weight of an TSTRDF on [math]. In this paper, we initiate the study of twin signed total Roman domination in digraphs and we present some sharp bounds on [math]. In addition, we determine the twin signed Roman domination number of some classes of digraphs.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T09:00:06Z
      DOI: 10.1142/S1793557118500341
       
  • Existence and uniqueness theorem for set-valued Volterra–Hammerstein
           integral equations
    • Authors: Andrej V. Plotnikov, Tatyana A. Komleva, Irina V. Molchanyuk
      Abstract: Asian-European Journal of Mathematics, Volume 11, Issue 03, June 2018.
      In this paper, we consider two types of set-valued Volterra–Hammerstein integral equations and prove the existence and uniqueness theorem.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-03T08:59:56Z
      DOI: 10.1142/S1793557118500365
       
  • Addendum: On a generalization of the Gauss formula
    • Authors: Marius Tărnăuceanu
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this short note, we give a characterization of ZM-groups that uses the functions defined and studied in [M. Tărnăuceanu, A generalization of the Euler’s totient function, Asian-Eur. J. Math. 8(4) (2015) 1550087; M. Tărnăuceanu, On a generalization of the Gauss formula, Asian-Eur. J. Math. 10(1) (2017) 1750008]. This leads to a proof of Conjecture 6 in [M. Tărnăuceanu, On a generalization of the Gauss formula, Asian-Eur. J. Math. 10(1) (2017) 1750008].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-05-14T09:15:23Z
      DOI: 10.1142/S1793557118910011
       
  • Co-quasiordered residuated systems: An introduction
    • Authors: Daniel A. Romano
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we introduce and discuss a concept of co-quasiordered residuated relational systems. The setting of this research is Bishop’s constructive mathematics — a mathematics based on the Intuitionisic logic and particular principle-philosophical orientation of this attitude. Moreover, we introduce the concept of co-filters in such relational system. Additionally, some of the fundamentals properties of these substructures we have been shown.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-24T09:35:51Z
      DOI: 10.1142/S1793557119500736
       
  • [math]-weakly second submodules
    • Authors: Indah Emilia Wijayanti, Dian Ariesta Yuwaningsih, Salmah
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We introduce the dual notions of [math]-weakly prime submodules, that is, [math]-weakly second submodules in a commutative ring with identity. We investigate the properties of [math]-weakly second submodules and obtain some related useful characterizations of this dualization. Moreover, we also prove some properties of [math]-weakly second submodules related to multiplication and comultiplication modules.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-23T09:24:57Z
      DOI: 10.1142/S1793557119500724
       
  • Convergence of RK-iterative process for generalized nonexpansive mappings
           in CAT(0) spaces
    • Authors: Ritika, Safeer Hussain Khan
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we introduce a new four-step iterative process and name it as RK-iterative process and prove some [math]-convergence and strong convergence results using this process for generalized nonexpansive mappings in CAT(0) spaces. Our results generalize the corresponding results of many authors in different directions.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-23T09:24:55Z
      DOI: 10.1142/S1793557119500773
       
  • Meet-reducible submaximal clones determined by two central relations
    • Authors: Y. L. T. Jeufack, L. Diekouam, E. R. A. Temgoua
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] and [math] be two central relations on a finite set [math]. It is known from Rosenberg’s classification theorem (1965) that the clones [math] and [math] which consist of all operations on [math] that preserve [math], respectively, [math] are among the maximal clones on [math]. In this paper, we find all central relations [math] such that the clone [math] is a maximal subclone of [math], where [math] is a fixed central relation.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:29Z
      DOI: 10.1142/S1793557119500645
       
  • Biorthogonal wavelet-based multigrid and full approximation scheme for the
           numerical solution of parabolic partial differential equations
    • Authors: S. C. Shiralashetti, L. M. Angadi, A. B. Deshi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This paper presents biorthogonal wavelet-based multigrid (BWMG) and full approximation scheme (FAS) for the numerical solution of parabolic partial differential equations (PPDEs), which are working horse behind many commercial applications like finger print image compression. Performance of the proposed schemes is better than the existing ones in terms of super convergence with less computational time. Some of the test problems are taken to demonstrate the applicability and validity of the method.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:28Z
      DOI: 10.1142/S1793557119500542
       
  • Magnifying elements of semigroups of transformations with invariant set
    • Authors: Ronnason Chinram, Samruam Baupradist
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a semigroup of all transformations on a set [math] Let [math] be a fixed nonempty subset of [math] and [math] Then [math] is a subsemigroup of [math] which leaves a subset [math] of [math] invariant. If [math] then [math] In this paper, we give necessary and sufficient conditions for elements in [math] to be left or right magnifying.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:28Z
      DOI: 10.1142/S1793557119500566
       
  • Salvage value and three variable Weibull deteriorating rate for
           non-instantaneous deteriorating items
    • Authors: Hetal Patel, Ajay Gor
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Existing study gives ordering policy for non-instantaneous deteriorating items having three-variable Weibull distribution deterioration rate. Demand rate varies in different time interval. Before deterioration starts, demand is constant and after that it decreases exponentially with respect to time. The study considers total cost function as objective function including salvage value. Shortages are not allowed to stay in time-based competition. Results are proved theoretically and numerically. Sensitivity analysis is performed with respect to salvage value, scale parameter, shape parameter and location parameter including in deterioration rate function to show the liability of the model.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:28Z
      DOI: 10.1142/S1793557119500700
       
  • Some properties of the weak product of graphs on lattices
    • Authors: S. K. Nimbhorkar, U. R. Borsarkar
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Some properties of the weak product of graphs on lattices are studied. We consider the weak product of the atom-based graphs, the incomparability graphs and the zero-divisor graphs of lattices. The number of edges in the weak product of such graphs is found. It is shown that the weak direct product of the atom-based graphs of two lattices [math] and [math] cannot be an induced subgraph of the atom-based graph of [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:27Z
      DOI: 10.1142/S1793557119500529
       
  • The null set of the join of paths
    • Authors: Arnold A. Eniego, I. J. L. Garces
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      For positive integer [math], a graph [math] is said to be [math]-magic if the edges of [math] can be labeled with the nonzero elements of Abelian group [math], where [math] (the set of integers) and [math] is the group of integers mod [math], so that the sum of the labels of the edges incident to any vertex of [math] is the same. When this constant sum is [math], we say that [math] is a zero-sum [math]-magic graph. The set of all [math] for which [math] is a zero-sum [math]-magic graph is the null set of [math]. In this paper, we will completely determine the null set of the join of a finite number of paths.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:27Z
      DOI: 10.1142/S1793557119500608
       
  • Heisenberg uncertainty inequality for certain Lie groups
    • Authors: Kais Smaoui
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We establish analogues of Heisenberg uncertainty inequality for some classes of Lie groups, such as connected and simply connected nilpotent Lie groups, diamond Lie groups and Heisenberg motion groups.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:26Z
      DOI: 10.1142/S1793557119500657
       
  • Numerical treatment of fractional-order nonlinear system of delay
           integro-differential equations arising in biology
    • Authors: F. Mohammadi, L. Moradi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This paper presents a fractional-order nonlinear system of delay integro-differential equations which is used to model biological species living together. A numerical scheme based on the Chelyshkov polynomials is implemented to solve this fractional order system of integro-differential equations. The main advantages of the presented method is that it reduces under consideration problem to a system of nonlinear algebraic equations. Some test problems are considered to confirm validity and accuracy of the presented method. Moreover, the obtained numerical results are compared with those existing in the literature.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:26Z
      DOI: 10.1142/S1793557119500682
       
  • A numerical study of two-dimensional coupled systems and higher order
           partial differential equations
    • Authors: R. Rohila, R. C. Mittal
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, a new approach and methodology is developed by incorporating differential quadrature technique with Bernstein polynomials. In differential quadrature method, approximations are done in a way that the derivatives of the function are replaced by a linear sum of functional values at the grid points of the given domain. In Bernstein differential quadrature method (BDQM), Bernstein polynomials are employed for spatial discretization so that a system of ordinary differential equations (ODE’s) is obtained which is solved by SSPRK-43 method. The stability of the method is also studied. The accuracy of the present method is checked by performing numerical experiments on two-dimensional coupled Burgers’ and Brusselator systems and fourth-order extended Fisher Kolmogorov (EFK) equation. Implementation of the method is very easy, efficient and capable of reducing the size of computational efforts.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:26Z
      DOI: 10.1142/S1793557119500712
       
  • Solving of nonlinear Fredholm integro-differential equation in a complex
           plane with rationalized Haar wavelet bases
    • Authors: Majid Erfanian, Hamed Zeidabadi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Everyone knows about the complicated solution of the nonlinear Fredholm integro-differential equation in general. Hence, often, authors attempt to obtain the approximate solution. In this paper, a numerical method for the solutions of the nonlinear Fredholm integro-differential equation (NFIDE) of the second kind in the complex plane is presented. In fact, by using the properties of Rationalized Haar (RH) wavelet, we try to give the solution of the problem. So far, as we know, no study has yet been attempted for solving the NFIDE in the complex plane. For this purpose, we introduce the continuous integral operator and real valued function. The Banach fixed point theorem guarantees that, under certain assumptions, the integral operator has a unique solution. Furthermore, we give an upper bound for the error analysis. An algorithm is presented to compute and illustrate the solutions for some numerical examples.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:25Z
      DOI: 10.1142/S1793557119500554
       
  • Unoriented knot polynomials of torus links as Fibonacci-type polynomials
    • Authors: İsmet Altıntaş, Kemal Taşköprü
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The focus of this paper is to study the two-variable Kauffman polynomials [math] and [math], and the one-variable BLM/Ho polynomial [math] of [math]-torus link as the Fibonacci-type polynomials and to express the Kauffman polynomials in terms of the BLM/Ho polynomial. For this purpose, we prove that each of the examined polynomials of [math]-torus link can be determined by a third-order recurrence relation and give the recursive properties of them. We correlate these polynomials with the Fibonacci-type polynomials. By using the relations between the BLM/Ho polynomials and Fibonacci-type polynomials, we express the Kauffman polynomials in terms of the BLM/Ho polynomials.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:24Z
      DOI: 10.1142/S1793557119500530
       
  • Representation theorems of [math]-trees and Brownian motions indexed by
           [math]-trees
    • Authors: Asuman Güven Aksoy, Monairah Al-Ansari, Qidi Peng
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We provide a new representation of an [math]-tree by using a special set of metric rays. We have captured the four-point condition from these metric rays and shown an equivalence between the [math]-trees with radial and river metrics, and these sets of metric rays. In stochastic analysis, these graphical representation theorems are of particular interest in identifying Brownian motions indexed by [math]-trees.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:24Z
      DOI: 10.1142/S1793557119500670
       
  • Continuity of [math]-convex functions
    • Authors: M. Rostamian Delavar, S. S. Dragomir
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, a condition which implies the continuity of an [math]-convex function is investigated. In fact, any [math]-convex function bounded from above is continuous if the function [math] satisfies a certain condition which is called pre-continuity condition.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-19T08:27:23Z
      DOI: 10.1142/S1793557119500591
       
  • Characterization of some minimal codes for secret sharing
    • Authors: Sassia Makhlouf, Lemnouar Noui
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Recently, several authors used linear codes to construct secret sharing schemes. It is known that if each nonzero codeword of a code [math] is minimal, then the dual code [math] is suitable for secret sharing. To seek such codes Ashikhmin–Barg give a sufficient condition from weights; in [math] code [math], let [math] and [math] be the minimum and maximum nonzero weights, respectively. If wmin wmax> q − 1 q(*) then all nonzero codewords of [math] are minimal. In this paper, a necessary and sufficient condition is given for self-dual codes and for MDS codes to verify the inequality (*). Special codes are examined and applied for secret sharing schemes.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:54Z
      DOI: 10.1142/S1793557119500268
       
  • Hölder type integral inequalities with different pseudo-operations
    • Authors: Sadegh Abbaszadeh, Ali Ebadian, Mohsen Jaddi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The theory of non-additive measures and relevant nonlinear integrals has recently been developed as a new branch of mathematics with various applications in other sciences. In this area, pseudo-additive measures and pseudo-integrals play important roles as new extensions of measures and integrals. The aim of this paper is to prove Hölder type integral inequalities with different pseudo-operations. Several examples are given to show the inequalities in more tangible forms.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:54Z
      DOI: 10.1142/S1793557119500323
       
  • When the annihilator-ideal graph is planar or complete bipartite graph
    • Authors: M. J. Nikmehr, S. M. Hosseini
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a commutative ring with identity and [math] be the set of ideals of [math] with nonzero annihilator. The annihilator-ideal graph of [math], denoted by [math], is a simple graph with the vertex set [math], and two distinct vertices [math] and [math] are adjacent if and only if [math]. In this paper, we present some results on the bipartite, complete bipartite, outer planar and unicyclic of the annihilator-ideal graphs of a commutative ring. Among other results, bipartite annihilator-ideal graphs of rings are characterized. Also, we investigate planarity of the annihilator-ideal graph and classify rings whose annihilator-ideal graph is planar.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:53Z
      DOI: 10.1142/S1793557119500244
       
  • On codes over [math] and its covering radius
    • Authors: N. Annamalai, C. Durairajan
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This paper gives lower and upper bounds on the covering radius of codes over [math] with respect to Lee distance. We also determine the covering radius of various repetition codes over [math]
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:53Z
      DOI: 10.1142/S179355711950027X
       
  • Structure of repeated-root constacyclic codes of length [math]
    • Authors: Saroj Rani
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Constacyclic codes form an important class of linear codes which is remarkable generalization of cyclic and negacyclic codes. In this paper, we assume that [math] is the finite field of order [math] where [math] is a power of the prime [math] and [math] are distinct odd primes, and [math] are positive integers. We determine generator polynomials of all constacyclic codes of length [math] over the finite field [math] We also determine their dual codes.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:52Z
      DOI: 10.1142/S1793557119500505
       
  • Existence and approximative fixed points for multifunctions
    • Authors: Hojjat Afshari, Hassen Aydi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The purpose of this paper is to present some new fixed point theorems for multifunctions, obtained by combining the methods of Suzuki and Samet and by using different conditions for generalized contractive multifunctions. Some examples are also considered.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:51Z
      DOI: 10.1142/S1793557119500220
       
  • On the doubly connected domination polynomial of a graph
    • Authors: M. H. Akhbari, F. Movahedi, M. Arslanov
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a simple graph. A set [math] is a doubly connected dominating set of [math] if it is a dominating set and both induced subgraphs [math] and [math] are connected. In this paper, we introduce the doubly connected domination polynomial of a graph. We investigate some properties of these polynomials for some specific graphs. Also, we compute the doubly connected domination polynomial for some families of graphs such as the friendship graphs and the cactus chains graphs.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:51Z
      DOI: 10.1142/S1793557119500360
       
  • Maps preserving triple product [math] on ∗-algebras
    • Authors: Ali Taghavi, Mehran Razeghi, Mojtaba Nouri, Vahid Darvish
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] and [math] be two prime ∗-algebras. Let [math] be a bijective and satisfies Φ(A • B • C) = Φ(A) • Φ(B) • Φ(C), for all [math] where [math]. Then, [math] is additive. Moreover, if [math] is idempotent then we show that [math] is [math]-linear ∗-isomorphism.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:51Z
      DOI: 10.1142/S1793557119500384
       
  • The order of appearance of the sum and difference between two Fibonacci
           numbers
    • Authors: Pavel Trojovský
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be the [math]th Fibonacci number and [math] be the [math]th Lucas number. The order of appearance [math] of a natural number [math] is defined as the smallest natural number [math] such that [math] divides [math]. For instance, [math], for all [math]. In this paper, among other things, we prove that [math] depends on [math], where [math] is the greatest common divisor of numbers [math] and [math], which fulfill the condition [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:51Z
      DOI: 10.1142/S1793557119500463
       
  • Some inequalities for the multiplier of a pair of [math]-Lie algebras
    • Authors: Azam K. Mousavi, Mohammad Reza R. Moghaddam, Mehdi Eshrati
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a pair of [math]-Lie algebras. Then, we introduce the concept of Schur multiplier of the pair [math], denoted by [math], and some inequalities for the dimension of [math] are given. We also determine a necessary and sufficient condition, for which the Schur multiplier of a pair of [math]-Lie algebras can be embedded into the Schur multipliers of their [math]-Lie algebra factors. Moreover, some inequalities for the Schur multiplier of a pair of finite-dimensional nilpotent [math]-Lie algebras are acquired.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:50Z
      DOI: 10.1142/S1793557119500281
       
  • Orbital stability of standing waves for nonlinear fractional Schrödinger
           equation with unbounded potential
    • Authors: Xiaohua Liu
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, the orbital stability of standing waves for nonlinear fractional Schrödinger equation is considered. By constructing the constrained functional extreme-value problem, the existence of standing waves is studied. With the help of the orbital stability theories presented by Grillakis, Shatah and Strauss, the orbital stability of standing waves is determined by the sign of a discriminant. To our knowledge, it is the first time that the abstract orbital stability theories presented by Grillakis, Shatah and Strauss are applied to study the stability of solutions for fractional evolution equation.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:50Z
      DOI: 10.1142/S1793557119500438
       
  • Some growth properties of composite [math]-adic entire functions on the
           basis of their relative order and relative lower order
    • Authors: Tanmay Biswas
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a complete ultrametric algebraically closed field and [math] be the [math]-algebra of entire functions on [math]. For [math], [math], we wish to introduce the notions of relative order and relative lower order of [math] with respect to [math]. Hence, after proving some basic results, in this paper, we estimate some growth rates of composite [math]-adic entire functions on the basis of their relative orders and relative lower orders.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:50Z
      DOI: 10.1142/S179355711950044X
       
  • Results of differential subordination for a unified subclass of analytic
           functions defined using generalized Ruscheweyh derivative operator
    • Authors: Ritu Agarwal, G. S. Paliwal, Parany Goswami
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we introduce a unified subclass of analytic functions by making use of the principle of subordination, involving generalized Ruscheweyh Derivative operator [math]. The properties such as inclusion relationships, distortion theorems, coefficient inequalities and differential sandwich theorem for the above class have been discussed.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:49Z
      DOI: 10.1142/S1793557119500359
       
  • Global solvability and regularity for [math] on an annulus between two
           weakly convex domains which satisfy property (P)
    • Authors: Sayed Saber
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a complex manifold of dimension [math] and let [math]. Let [math] be a weakly [math]-convex and [math] be a weakly [math]-convex in [math] with smooth boundaries such that [math]. Assume that [math] and [math] satisfy property [math]. Then the compactness estimate for [math]-forms [math] holds for the [math]-Neumann problem on the annulus domain [math]. Furthermore, if [math] is [math]-closed [math]-form, which is [math] on [math] and which is cohomologous to zero on [math], the canonical solution [math] of the equation [math] is smooth on [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:49Z
      DOI: 10.1142/S1793557119500414
       
  • Certain applications of WP-Bailey pairs
    • Authors: Maheshwar Pathak, Pankaj Srivastava
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In the present paper, certain new transformation formulae for basic hypergeometric series have been developed with the help of new WP-Bailey pair generated from old WP-Bailey pair.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:49Z
      DOI: 10.1142/S1793557119500499
       
  • Lattice vector spaces and linear transformations
    • Authors: Geena Joy, K. V. Thomas
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This paper introduces the concept of lattice vector space and establishes many important results. Also, this paper deals with linear transformations on lattice vector spaces and discusses their elementary properties. We prove that every finite dimensional lattice vector space is isomorphic to [math] and show that the set of all columns (or the set of all rows) of an invertible matrix over [math] is a basis for [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:48Z
      DOI: 10.1142/S1793557119500311
       
  • An elementary proof of the symplectic spectral theorem
    • Authors: Camilo Sanabria Malagón
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The classical spectral theorem completely describes self-adjoint operators on finite-dimensional inner product vector spaces as linear combinations of orthogonal projections onto pairwise orthogonal subspaces. We prove a similar theorem for self-adjoint operators on finite-dimensional symplectic vector spaces over perfect fields. We show that these operators decompose according to a polarization, i.e. as the product of an operator on a Lagrangian subspace and its dual on a complementary Lagrangian. Moreover, if all the eigenvalues of the operator are in the base field, then there exists a Darboux basis such that the matrix representation of the operator is [math] blocks block-diagonal, where the first block is in Jordan normal form and the second block is the transpose of the first one.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:48Z
      DOI: 10.1142/S1793557119500335
       
  • Quotient of linear relations and applications
    • Authors: Abdellah Gherbi, Bekkai Messirdi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we extend the notion of quotient of linear operators to linear relations. We introduce for two given linear relations [math] and [math], the linear relation quotient [math] and we give a detailed treatment of some basic algebraic and topological properties of this new notion.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:48Z
      DOI: 10.1142/S1793557119500475
       
  • Type I and Type II codes over the ring [math]
    • Authors: Ankur, Pramod Kumar Kewat
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We discuss self-dual codes over the ring [math]. We characterize the structure of self-dual, Type I codes and Type II codes over [math] with given generator matrix in terms of the structure of their Torsion and Residue codes. We construct self-dual, Type I and Type II codes over [math] for different lengths.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:47Z
      DOI: 10.1142/S1793557119500256
       
  • Study on quasi-[math]-hyperideals in [math]-semihypergroups
    • Authors: Kostaq Hila, Saleem Abdullah, Krisanthi Naka
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we are dealing with [math]-semihypergroups which are a generalization of a semigroup, [math]-semigroup and a semihypergroup. We introduce the notion of generalized quasi-[math]-hyperideal i.e. of [math]-quasi-[math]-hyperideal, [math]-right [math]-hyperideal and [math]-left [math]-hyperideal in [math]-semihypergroups and different properties of them and relations between them are studied.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:47Z
      DOI: 10.1142/S179355711950030X
       
  • Commutative rings whose ideal lattices are complemented
    • Authors: Ivan Chajda, Helmut Länger
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We characterize those commutative rings [math] whose ideal lattice [math] endowed with the annihilation operation is an ortholattice. Moreover, we provide an analogous characterization for the annihilator lattice [math] endowed with the annihilation operation. Since the ideal lattice of [math] is modular, [math] is already an orthomodular lattice provided it is an ortholattice. However, there exist also commutative rings whose ideal lattices are complemented but the complementation differs from annihilation. We present an example of such a ring and develop a procedure producing infinitely many rings with this property. Finally, we provide a sufficient condition for double annihilation to be a homomorphism from [math] onto [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:46Z
      DOI: 10.1142/S1793557119500396
       
  • Global well-posedness for the two-component Camassa–Holm equation
           with fractional dissipation
    • Authors: Jingqun Wang, Jing Li, Lixin Tian
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we investigate the two-component Camassa–Holm equation with fractional dissipation ut − utxx + k ∧γ(u − u xx) + 3uux − (2uxuxx + uuxxx) + ρρx = 0,t> 0,x ∈ R,ρt + ∧1 2ρ + (uρ)x = 0, t> 0,x ∈ R, where [math] denotes the fractional dissipative operator which is defined by the Fourier transform [math]. We prove the local-posedness of this equation via the Littlewood–Paley theory and the suitable iterative scheme. Furthermore, under appropriate discussions, we give the global well-posedness of the above equation.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:46Z
      DOI: 10.1142/S1793557119500517
       
  • Morita invariants of semirings related to a Morita context
    • Authors: Krishanu Dey, Sugato Gupta, Sujit Kumar Sardar
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The main purpose of the paper is to consider two Morita equivalent semirings [math] and [math] via Morita context [math] instead of considering them via the equivalence of the resulting semimodule categories and then to investigate various Morita invariants related to each of the pairs [math]; [math]; [math]; [math], etc.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:45Z
      DOI: 10.1142/S1793557119500232
       
  • Descent spectrum equality
    • Authors: Abdelaziz Tajmouati, Hamid Boua, Abdeslam El Bakkali
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      A bounded operator [math] in a Banach space [math] is said to satisfy the descent spectrum equality, if the descent spectrum of [math] as an operator on [math] coincides with the descent spectrum of [math] as an element of the algebra [math] of all bounded linear operators on [math]. In this paper, we give some conditions under which the equality [math] holds for a single operator [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:45Z
      DOI: 10.1142/S1793557119500293
       
  • The conditions of existence of a solution of the degenerate two-point in
           time problem for PDE
    • Authors: Zinovii Nytrebych, Oksana Malanchuk
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The problem with local nonhomogeneous two-point in time conditions for homogeneous PDE of the second order in time and, generally, infinite order in spatial variables is investigated. This problem is degenerated namely its characteristic determinant is identically zero. The condition of existence of a solution of the degenerate problem is established. Also, we proposed the differential-symbol method of constructing the solution of the problem in the classes of entire functions. Some examples of solving the degenerate two-point in time problems are presented.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-10T07:47:45Z
      DOI: 10.1142/S1793557119500372
       
  • Finite summation formulas of Srivastava’s general triple
           hypergeometric function
    • Authors: Vivek Sahai, Ashish Verma
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This paper continues the study of finite summation formulas of multivariable hypergeometric functions. Earlier, Wang and Chen [Finite summation formulas of double hypergeometric functions, Int. Transf. Spec. Funct. 28(3) (2016) 239–253] established finite summation formulas of double hypergeometric functions by using some well-known summation theorems. We present here finite summation formulas for Srivastava’s general triple hypergeometric function. Certain particular cases leading to finite summation formulas for Lauricella functions and Srivastava’s triple hypergeometric functions are also presented.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-09T08:00:55Z
      DOI: 10.1142/S1793557119500207
       
  • [math]-Pell, [math]-Pell–Lucas and modified [math]-Pell sedenions
    • Authors: Paula Catarino
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The aim of this work is to present the [math]-Pell, the [math]-Pell–Lucas and the Modified [math]-Pell sedenions and we give some properties involving these sequences, including the Binet-style formulae and the ordinary generating functions.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-09T08:00:54Z
      DOI: 10.1142/S1793557119500189
       
  • Hidden variable bivariate fractal interpolation functions and errors on
           perturbations of function vertical scaling factors
    • Authors: Chol-Hui Yun, Mi-Kyong Ri
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we present a construction of hidden variable bivariate fractal interpolation functions (HVBFIFs) with function vertical scaling factors and estimate errors of HVBFIFs on perturbation of the function vertical scaling factor. We construct HVBFIFs on the basis of the iterated function system (IFS) with function vertical scaling factors. The perturbation of the function vertical scaling factors in the IFS causes a change in the HVBFIF. An upper estimation of the errors between the original HVBFIF and the perturbed HVBFIF is given.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-09T08:00:54Z
      DOI: 10.1142/S1793557119500219
       
  • Second Hankel determinant for certain class of bi-univalent functions
           defined by Chebyshev polynomials
    • Authors: H. Orhan, N. Magesh, V. K. Balaji
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this work, we obtain an upper bound estimate for the second Hankel determinant of a subclass [math] of analytic bi-univalent function class [math] which is associated with Chebyshev polynomials in the open unit disk.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-04-09T08:00:53Z
      DOI: 10.1142/S1793557119500177
       
  • New approximation method for Volterra nonlinear integro-differential
           equation
    • Authors: Sami Segni, Mourad Ghiat, Hamza Guebbai
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this work, we build a new numerical method to approximate the solution of Volterra’s nonlinear integro-differential equation. This method needs fewer conditions to converge, compared to the direct Nytröm method. Numerical tests show its efficiency. This new method is more practical and compatible with the Volterra nonlinear integro-differential equation.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-02-05T03:48:09Z
      DOI: 10.1142/S1793557119500165
       
  • Some properties of n-autonilpotent groups
    • Authors: S. F. Mohebian, S. Hosseini
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The concepts of autonilpotent groups were introduced by Parvaneh and Moghaddam in 2010. In this paper, we introduce the generalized version of lower n-autocenteral and upper n-autocenteral series. Using these concepts, the notion of n-autonilpotent groups will be defined and some of the well-known theorems on autonilpotent groups will be proved in the generalized version.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-02-05T03:48:04Z
      DOI: 10.1142/S1793557119500141
       
  • Gröbner–Shirshov basis method for multiple tensor products of
           some associative algebras
    • Authors: Rabigul Tuniyaz, Abdukadir Obul
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we establish Composition-Diamond lemma for multiple tensor products of commutative algebra [math], free associative algebras [math], Grassman algebras [math] and path algebras [math] over a field [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2018-02-05T03:47:59Z
      DOI: 10.1142/S1793557119500153
       
  • Complete rewriting system for the Schützenberger product of [math]
           groups
    • Authors: Esra Kırmızı Çetinalp, Eylem Güzel Karpuz, Ahmet Sinan Çevik
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we obtain a complete rewriting system for monoid presentation of Schützenberger product of [math] groups, which is firstly defined in [G. M. S. Gomes, H. Sezinando and J. E. Pin, Presentations of the Schützenberger product of [math] groups, Comm. Algebra 34(4) (2006) 1213–1235]. It gives an algorithm for getting normal form of elements and hence solving the word problem in this group.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-11-03T11:15:58Z
      DOI: 10.1142/S1793557119500128
       
  • Discrete duality for De Morgan Algebras with operators
    • Authors: Verónica Gregori
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      A discrete duality is a relationship between classes of algebras and classes of relational systems (frames). In this paper, discrete dualities are presented for De Morgan algebras with various kind of unary operators. To do this, we will extend the discrete duality given in [W. Dzik, E. Orłowska and C. van Alten, Relational representation theorems for general lattices with negations, in Relations and Kleene Algebra in Computer Science, Lecture Notes in Computer Science, Vol. 4136 (Springer, Berlin, 2006), pp. 162–176], for De Morgan algebras.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-11-03T10:22:53Z
      DOI: 10.1142/S1793557119500104
       
  • Iso-retractable modules and rings
    • Authors: A. K. Chaturvedi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The modules which are isomorphic to their non-zero submodules are known as iso-retractable. We characterize simple modules in terms of iso-retractable modules. We provide several sufficient conditions for iso-retractable modules to be simple. We show that if the endomorphism ring of an iso-retractable module is von-Neumann regular then [math] is a simple module. In general, iso-retractable modules need not be projective (injective) and vice versa. We investigate some properties of iso-retractable modules with projectivity as well as injectivity. Finally, we provide some open problems.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-11-03T10:22:53Z
      DOI: 10.1142/S179355711950013X
       
  • New process to approach linear Fredholm integral equations defined on
           large interval
    • Authors: Samir Lemita, Hamza Guebbai
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      To tackle a linear Fredholm integral equation on great interval, two numerical processes are involved: discretization and iterative scheme. The conventional numerical process is discretize first then use an iterative scheme as Jacobi’s method to approach the solutions of the huge algebraic system. In this paper, we propose an alternative numerical process, we apply an iterative scheme based on construction of a generalization of the iterative scheme for Jacobi method which is adapted to the system of linear bounded operators, then we use Nyström method to discretize only the diagonal part of the system. The convergence analysis of this new method is proved and numerical tests developed show its effectiveness.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-11-03T10:22:52Z
      DOI: 10.1142/S1793557119500098
       
  • Monotone domain decomposition iterative technique for boundary value
           problems of a nonlinear fractional differential equation
    • Authors: Myong-Gil Rim, Chol-Guk Choe
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we present a monotone domain decomposition iterative technique for boundary value problems of a nonlinear fractional differential equation. We construct two monotone domain decomposition sequences of upper and lower solutions which converge uniformly to the actual solution of the problem. The accuracy and efficiency of our new approach are demonstrated through two examples.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-11-03T10:22:52Z
      DOI: 10.1142/S1793557119500116
       
  • Existence of solutions for a higher order fractional boundary value
           problem posed on the half-line
    • Authors: A. Boucenna, T. Moussaoui
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The aim of this paper is to study the existence and uniqueness of solutions for a boundary value problem associated with a fractional nonlinear differential equation with higher order posed on the half-line. An appropriate continuous embedding for suitable Banach spaces are proved and the Minty–Browder theorem for monotone operators is used in the proof of existence of solutions for a boundary value problem of fractional order posed on the half-line.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-10-20T11:41:16Z
      DOI: 10.1142/S1793557119500086
       
  • [math]-[math]-Compactness and [math]-[math]-stability in ditopological
           texture spaces
    • Authors: M. Parimala, R. Udhayakumar
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The purpose of this paper is to introduce and study new notions of continuity, compactness and stability in ditopological texture spaces based on the notions of [math]-[math]-open and [math]-[math]-closed sets and some of their characterizations are obtained.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-10-19T09:01:52Z
      DOI: 10.1142/S1793557119500049
       
  • Sensitivity, property [math] and uniform entropy
    • Authors: Sejal Shah, Ruchi Das, Tarun Das
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We give a sufficient condition for sensitivity of continuous maps defined on a uniform space. We also study property [math] for uniformly continuous maps defined on a uniform space and its relation with uniform entropy.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-10-19T09:01:50Z
      DOI: 10.1142/S1793557119500025
       
  • Characterizing 2-distance graphs
    • Authors: Ramuel P. Ching, I. J. L. Garces
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a finite simple graph. The [math]-distance graph [math] of [math] is the graph with the same vertex set as [math] and two vertices are adjacent if and only if their distance in [math] is exactly [math]. A graph [math] is a [math]-distance graph if there exists a graph [math] such that [math]. In this paper, we give three characterizations of [math]-distance graphs, and find all graphs [math] such that [math] or [math], where [math] is an integer, [math] is the path of order [math], and [math] is the complete graph of order [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-10-19T09:01:49Z
      DOI: 10.1142/S1793557119500062
       
  • Birkhoff center of [math]-semiring
    • Authors: S. Kar, S. Purkait, R. Sarkar
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we introduce the concept of Birkhoff center of a [math]-semiring and provide some characterizations of this center. Finally, we prove that the Birkhoff center of a [math]-semiring forms a distributive lattice.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-10-19T09:01:48Z
      DOI: 10.1142/S1793557119500037
       
  • Some commutativity theorems for rings with involution involving
           generalized derivations
    • Authors: My Abdallah Idrissi, Lahcen Oukhtite
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Our purpose in this paper is to investigate commutativity of a ring with involution [math] which admits a generalized derivation satisfying certain algebraic identities. Some well-known results characterizing commutativity of prime rings have been generalized. Moreover, we provide examples to show that the assumed restrictions cannot be relaxed.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-10-19T09:01:47Z
      DOI: 10.1142/S1793557119500013
       
  • Some varieties of algebraic systems of type [math]
    • Authors: D. Phusanga, J. Koppitz
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In the present paper, we classify varieties of algebraic systems of the type [math], for natural numbers [math] and [math], which are closed under particular derived algebraic systems. If we replace in an algebraic system the [math]-ary operation by an [math]-ary term operation and the [math]-ary relation by the [math]-ary relation generated by an [math]-ary formula, we obtain a new algebraic system of the same type, which we call derived algebraic system. We shall restrict the replacement to so-called “linear” terms and atomic “linear” formulas, respectively.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-10-19T09:01:46Z
      DOI: 10.1142/S1793557119500050
       
  • Semigroups of linear tree languages
    • Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      A linear tree language of type [math] is a set of linear terms, terms in which each variable occurs at most once, of that type. We investigate a semigroup consisting of the collection of all linear tree languages such that products of any element in the collection are nonempty and the operation of the corresponding linear product especially idempotent elements, Green’s relations [math], [math], and [math], and some of its subsemigroups. We discover that this semigroup is neither factorizable nor locally factorizable. We also study the linear product iteration and show that any iteration is idempotent in this semigroup. Moreover, we study a semigroup with the complement of the universe set of the above semigroup together with the same linear product operation.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-28T04:12:21Z
      DOI: 10.1142/S1793557118500912
       
  • The cozero-divisor graph of a module
    • Authors: A. Alibemani, E. Hashemi, A. Alhevaz
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be an associative ring with non-zero identity and [math] a non-zero unital left [math]-module. The cozero-divisor graph of [math], denoted by [math], is a graph with vertices [math] and two distinct vertices [math] and [math] are adjacent if [math] and [math]. In this paper, we study some connections between the graph-theoretic properties of [math] and algebraic-theoretic properties of [math] and [math]. Also, we study girth, independence number, clique number and planarity of this graph.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-28T04:12:21Z
      DOI: 10.1142/S1793557118500924
       
  • Numerical solution for system of nonlinear Fredholm–Hammerstein integral
           equations based on hybrid Bernstein Block-Pulse functions with the Gauss
           quadrature rulec
    • Authors: Esmail Hesameddini, Mostafa Khorramizadeh, Mehdi Shahbazi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This work provides an efficient method for solving system of nonlinear Fredholm–Hammerstein integral equations. The propose method approximates the unknown function with hybrid Bernstein Block-Pulse functions (HBPF). In order to do this, we apply these functions and then using the collocation method for the numerical solutions of this system. Furthermore, we implement this method in conjunction with the quadrature rule for converting the problem to a system of algebraic equations that can be solved easily by applying mathematical programming techniques. The merits of this method lie in the fact that, on the one hand, the problem will be reduced to a system of algebraic equations and on the other hand, the efficiency and accuracy of the hybrid Bernstein Block-Pulse functions with the Gauss quadrature rule (HBPF-GQR) for solving this system are remarkable. The existence and uniqueness of solution have been presented. Moreover, the convergence of this algorithm will be shown by preparing some theorems. Several numerical examples are presented to show the superiority and efficiency of current method in comparison with some other well-known methods.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-22T02:10:34Z
      DOI: 10.1142/S1793557118500894
       
  • Mathematical modeling and optimal control of corruption dynamics
    • Authors: S. Athithan, Mini Ghosh, Xue-Zhi Li
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The problem of corruption is of serious concern in all the nations, more so in the developing countries. This paper presents the formulation of a corruption control model and its analysis using the theory of differential equations. We found the equilibria of the model and stability of these equilibria are discussed in detail. The threshold quantity [math] which has a similar implication here as in the epidemiological modeling is obtained for the present model. The corruption free equilibrium is found to be stable when [math] is less than [math] and unstable for [math]. The endemic equilibrium which signifies the presence of corrupted individuals in the society exists only when [math]. This equilibrium point is locally asymptotically stable whenever it exists. We perform extensive numerical simulations to support the analytical findings. Furthermore, we extend the model to include optimal control and the optimal control profile is obtained to get the maximum control within a stipulated period of time. Our presented results show that the level of corruption in the society can be reduced if corruption control efforts through media/punishments etc. are increased and put in place.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-22T02:10:34Z
      DOI: 10.1142/S1793557118500900
       
  • Cyclic self-orthogonal codes over finite chain ring
    • Authors: Abhay Kumar Singh, Narendra Kumar, Kar Ping Shum
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we study the cyclic self-orthogonal codes over a finite commutative chain ring [math], where [math] is a prime number. A generating polynomial of cyclic self-orthogonal codes over [math] is obtained. We also provide a necessary and sufficient condition for the existence of nontrivial self-orthogonal codes over [math]. Finally, we determine the number of the above codes with length [math] over [math] for any [math]. The results are given by Zhe-Xian Wan on cyclic codes over Galois rings in [Z. Wan, Cyclic codes over Galois rings, Algebra Colloq. 6 (1999) 291–304] are extended and strengthened to cyclic self-orthogonal codes over [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:15Z
      DOI: 10.1142/S179355711850078X
       
  • Ideals of Core Regular Double Stone Algebra
    • Authors: A. R. J. Srikanth, R. V. G. Ravi Kumar
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      A regular double Stone algebra with nonvoid core is called core regular double Stone algebra (CRDSA) [6] and this particular core element affects the behavior of the algebra in certain aspects especially in characterization of maximal and prime ideals. In this paper, an elegant characterization for maximal and prime ideals of a CRDSA is established.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:15Z
      DOI: 10.1142/S1793557118500833
       
  • Existence results for diffusion–convection equations of nonlinear
           unilateral problems defined in Orlicz–Sobolev spaces
    • Authors: H. Moussa, M. Rhoudaf, H. Sabiki
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We prove the existence result of unilateral problems associated to strongly nonlinear elliptic equations whose model, including the diffusion–convection equation, is [math]. We study exactly the following general case [math] where [math] is a Leray–Lions operator having a growth not necessarily of polynomial type, the lower order term [math] : [math] is a Carathéodory function, for a.e. [math] and for all [math] satisfying only a growth condition and the right-hand side [math] belongs to [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:14Z
      DOI: 10.1142/S1793557118500791
       
  • The weight distributions of irreducible cyclic codes of length [math]
    • Authors: Monika Sangwan, Pankaj Kumar
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a primitive root modulo [math], where [math] and [math] are distinct odd primes. Let [math] be a finite field. For such pair of [math] and [math], the explicit expressions of minimal and generating polynomials over [math] are obtained for all irreducible cyclic codes of length [math]. In Sec. [4], it is observed that the weight distributions of all irreducible cyclic codes of length [math] over [math] can be computed easily with the help of the results obtained in [P. Kumar, M. Sangwan and S. K. Arora, The weight distribution of some irreducible cyclic codes of length [math] and [math], Adv. Math. Commun. 9 (2015) 277–289]. An explicit formula is also given to compute the weight distributions of irreducible cyclic codes of length [math] over [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:14Z
      DOI: 10.1142/S1793557118500857
       
  • Variants for the logarithmic-quadratic proximal point scalarization method
           for multiobjective programming
    • Authors: Rómulo Castillo, Clavel Quintana
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We consider the proximal point method for solving unconstrained multiobjective programming problems including two families of real convex functions, one of them defined on the positive orthant and used for modifying a variant of the logarithm-quadratic regularization introduced recently and the other for defining a family of scalar representations based on 0-coercive convex functions. We show convergent results, in particular, each limit point of the sequence generated by the method is a weak Pareto solution. Numerical results over fourteen test problems are shown, some of them with complicated pareto sets.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:13Z
      DOI: 10.1142/S179355711850081X
       
  • Lie nilpotency indices of modular group algebras II
    • Authors: Meena Sahai, Reetu Siwach, R. K. Sharma
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be the modular group algebra of a group [math] over a field [math] of characteristic [math]. The classification of the group algebras [math] with upper Lie nilpotency index [math] greater than or equal to [math] has already been done. In this paper, we determine the group algebras [math] such that [math], [math], [math], [math], [math] or [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:13Z
      DOI: 10.1142/S1793557118500870
       
  • Positivity and recursion formula of the linearization coefficients of
           Bessel polynomials
    • Authors: M. Benabdallah, M. J. Atia
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Positivity of the linearization coefficients for Bessel polynomials is proved in a more general case. The proof is based not only on a recursion formula (a formula similar to one given by Berg and Vignat) but also on giving an explicit triple sum formula. Moreover, this triple sum is simplified and a double sum formula for these linearization coefficients is given. In two general cases, this formula reduces indeed to either Atia and Zeng’s formula (M. J. Atia and J. Zeng, An explicit formula for the linearization coefficients of Bessel polynomials, Ramanujan J. 28(2) (2012) 211–221, doi: 10.1007/s11139-011-9348-4) or Berg and Vignat’s formulas in their proof of the positivity results about these coefficients (C. Berg and C. Vignat, Linearization coefficients of Bessel polynomials and properties of student [math]-distributions, Constr. Approx. 27 (2008) 15–32).
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:12Z
      DOI: 10.1142/S1793557118500808
       
  • On the neutrix composition of [math] and [math]
    • Authors: Mongkolsery Lin
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The neutrix composition [math], [math] is a distribution and [math] is a locally summable function, is defined as the neutrix limit of the sequence [math], where [math] and [math] is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function [math]. The neutrix composition of the distributions [math] and [math] is evaluated for [math] Further related results are also deduced.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:12Z
      DOI: 10.1142/S1793557118500869
       
  • Fundamental group of the digital circle
    • Authors: Pooja Singh, Dania Masood
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      An analog of extended real line, [math]-sphere and [math]-disc in the setting of digital topology has been provided and the fundamental group of the digital circle has been computed which comes out to be the additive group [math] of integers.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:11Z
      DOI: 10.1142/S1793557118500821
       
  • The non-abelian tensor square of [math]-groups of order [math]
    • Authors: Taleea Jalaeeyan Ghorbanzadeh, Mohsen Parvizi, Peyman Niroomand
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, in the class of [math]-groups of order [math], we obtain the non-abelian exterior square, the exterior center, the non-abelian tensor square, the tensor center and the third homotopy group of suspension of an Eilenberg–MacLane space [math] of such groups.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:11Z
      DOI: 10.1142/S1793557118500845
       
  • Approximate controllability of semilinear fractional stochastic control
           system
    • Authors: Anurag Shukla, N. Sukavanam, D. N. Pandey
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The objective of this paper is to present some sufficient conditions for approximate controllability of semilinear fractional stochastic control system with delay. The results hold when the nonlinear function is Lipschitz continuous. Sufficient conditions are obtained by separating the given fractional semilinear stochastic system into two systems namely a semilinear fractional system and a fractional linear stochastic system. To prove our results, the Schauder fixed point theorem is applied. At the end, one example is given to illustrate the results.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-09-15T09:11:11Z
      DOI: 10.1142/S1793557118500882
       
  • A collocation method for a class of Fredholm integral equations with
           highly oscillatory kernels
    • Authors: Roghayeh Katani, Fatemeh Pourahmad
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, a collocation method by using Clenshaw–Curtis points is proposed to solve the Fredholm integral equations (FIEs) with highly oscillatory kernels. The collocation method is being applied to graded and uniform meshes. Due to the highly oscillatory kernels of integral equations, the discretized collocation equation will lead to the computation of the oscillatory integrals which will be computed by using the efficient Filon-type method. Finally, the effectiveness and accuracy of the proposed method are confirmed by numerical examples.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-07-25T08:42:10Z
      DOI: 10.1142/S1793557118500766
       
  • On the [math]-coherence of the perfect closure of some ring extensions
    • Authors: Farzad Shaveisi, Mostafa Amini
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      A ring [math] is called [math]-coherent if every [math]-presented ideal of [math] is [math]-presented. In this paper, the [math]-coherence of the perfect closure [math] is investigated. We show that if [math] is [math]-coherent, then it is normal. Also, it is shown that the perfect closure of a Noetherian reduced ring is [math]-coherent if and only if the perfect closure of its Henselization is [math]-coherent. Among other results, we study the [math]-coherence of [math] when [math] is a retract algebra.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-07-25T08:42:10Z
      DOI: 10.1142/S1793557118500778
       
  • A new method for option pricing via time-fractional PDE
    • Authors: Elaheh Saberi, S. Reza Hejazi, Elham Dastranj
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, power options pricing is driven via time-fractional PDE when the dynamic of underlying asset price follows a regime switching model in which the risky underlying asset depends on a continuous-time hidden Markov chain process. An exact solution for power options pricing is driven under our considered model.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-07-19T06:31:28Z
      DOI: 10.1142/S1793557118500742
       
  • Connected hop domination in graphs under some binary operations
    • Authors: Yamilita M. Pabilona, Helen M. Rara
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a simple graph. A hop dominating set [math] is called a connected hop dominating set of [math] if the induced subgraph [math] of [math] is connected. The smallest cardinality of a connected hop dominating set of [math], denoted by [math], is called the connected hop domination number of [math]. In this paper, we characterize the connected hop dominating sets in the join, corona and lexicographic product of graphs and determine the corresponding connected hop domination number of these graphs. The study of these concepts is motivated with a social network application.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-07-19T06:31:28Z
      DOI: 10.1142/S1793557118500754
       
  • Skew cyclic codes over [math]
    • Authors: Mohammad Ashraf, Ghulam Mohammad
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we study skew cyclic codes over the ring [math], where [math], [math], [math], [math] and [math] is a prime. We define a Gray map from [math] to [math] and investigate the structural properties of skew cyclic codes over [math] using decomposition method. It is shown that the Gray images of skew cyclic codes of length [math] over [math] are the skew [math]-quasi cyclic codes of length [math] over [math]. Finally, the idempotent generators of skew cyclic codes over [math] have also been discussed.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-07-17T02:39:22Z
      DOI: 10.1142/S1793557118500729
       
  • Almost strongly Orlicz double sequence spaces of regular matrices and
           their applications to statistical convergence
    • Authors: Kuldip Raj, Anu Choudhary, Charu Sharma
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we introduce and study some strongly almost convergent double sequence spaces by Riesz mean associated with four-dimensional bounded regular matrix and a Musielak–Orlicz function over [math]-normed spaces. We make an effort to study some topological and algebraic properties of these sequence spaces. We also study some inclusion relations between the spaces. Finally, we establish some relation between weighted lacunary statistical sequence spaces and Riesz lacunary almost statistical convergent sequence spaces over [math]-normed spaces.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-07-17T02:39:22Z
      DOI: 10.1142/S1793557118500730
       
  • On pointwise inner derivations of Lie algebras
    • Authors: Azita Amiri, Farshid Saeedi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a Lie algebra and [math] and [math] be the set of all derivations and inner derivations of [math], respectively. A derivation [math] of a Lie algebra [math] is pointwise inner if [math] for all [math]. The set of all pointwise inner derivations of Lie algebra [math] denoted by [math] form a subalgebra of [math] containing [math]. In this paper, we prove that, if [math] is nilpotent of class [math] (solvable of length [math]), then [math] is nilpotent of class [math] (solvable of length [math] or [math]). We also prove that if [math] is nilpotent of class [math], then [math] is nilpotent of class at most [math], in which [math] and [math] is the [math]th term in the upper central series of [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-23T07:23:00Z
      DOI: 10.1142/S1793557118500705
       
  • On cyclic and negacyclic codes of length [math] over finite field
    • Authors: Saroj Rani
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be finite field with [math] elements, where [math] be power of an odd prime [math]. In this paper, we determine generator polynomials of all cyclic and negacyclic codes of length [math] over [math] where [math] are distinct odd primes and [math] are positive integers. We also determine all self-dual, self-orthogonal, complementary-dual cyclic and negacyclic codes of length [math] over [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-23T07:23:00Z
      DOI: 10.1142/S1793557118500717
       
  • Injectivity in the category of GHS-acts
    • Authors: Muhammad Shabir, Salma Shaheen, Kar Ping Shum
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      It is known that hypermonoid is closely related to GHS-acts. In this paper, we initiate the study of injective object in the category [math]ct-S and explore its properties. Besides other results, we prove that the category [math]ct-S has enough injective objects and every GHS-act has a minimal injective extension.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-16T08:46:08Z
      DOI: 10.1142/S1793557118500651
       
  • Localization of tetravalent modal algebras
    • Authors: Aldo V. Figallo, Gustavo Pelaitay
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The main aim of this paper is to define the localization of a tetravalent modal algebra [math] with respect to a topology [math] on [math]. In Sec. 5, we prove that the tetravalent modal algebra of fractions relative to a ∧-closed system (defined in Definition 3.1) is a tetravalent modal algebra of localization.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-16T08:46:08Z
      DOI: 10.1142/S1793557118500675
       
  • Semisimple semirings with respect to co-ideals theory
    • Authors: Shahabaddin Ebrahimi Atani, Saboura Dolati Pishhesari, Mehdi Khoramdel
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we introduce the concepts of semisimple semirings, Jacobson radical and socle of semirings based on their co-ideals and record some results involving them.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-16T08:46:08Z
      DOI: 10.1142/S1793557118500699
       
  • Further results on the distance signless Laplacian spectrum of graphs
    • Authors: Abdollah Alhevaz, Maryam Baghipur, Ebrahim Hashemi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      The distance signless Laplacian matrix [math] of a connected graph [math] is defined as [math], where [math] is the distance matrix of [math] and [math] is the diagonal matrix whose main entries are the vertex transmissions of [math], and the spectral radius of a connected graph [math] is the largest eigenvalue of [math]. In this paper, first we obtain the [math]-eigenvalues of the join of certain regular graphs. Next, we give some new bounds on the distance signless Laplacian spectral radius of a graph [math] in terms of graph parameters and characterize the extremal graphs. Utilizing these results we present some upper and lower bounds on the distance signless Laplacian energy of a graph [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-16T08:46:07Z
      DOI: 10.1142/S1793557118500663
       
  • Algebra cone generalized [math]-metric space over banach algebra and fixed
           point theorems of generalized lipschitz mappings
    • Authors: Aziz Ahmed, J. N. Salunke
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we introduce the concept of algebra cone generalized [math]-metric space over Banach algebra by replacing the constant [math] with [math] where [math] is the spectral radius of [math], with this modification we shall prove Banach and kannan fixed point results for contractive generalized Lipschitz mappings in such a space. Moreover, we present one example in support of our results.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-16T08:46:06Z
      DOI: 10.1142/S1793557118500687
       
  • Camina Lie algebras
    • Authors: S. Sheikh-Mohseni, F. Saeedi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a Lie algebra and [math] be a proper ideal of [math]. Then [math] is called a Camina pair if [math] for all [math]. Also, [math] is called a Camina Lie algebra if [math] is a Camina pair. In this paper, we give some properties of Camina Lie algebras. Moreover, we show that a nilpotent Camina Lie algebra of finite dimension over an algebraically closed field is nilpotent with nilindex at most [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-13T09:37:14Z
      DOI: 10.1142/S1793557118500638
       
  • Tetracyclic graphs with maximum second Zagreb index: A simple approach
    • Authors: Akbar Ali
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In the chemical graph theory, graph invariants are usually referred to as topological indices. The second Zagreb index (denoted by [math]) is one of the most studied topological indices. For [math], let [math] be the collection of all non-isomorphic connected graphs with [math] vertices and [math] edges (such graphs are known as tetracyclic graphs). Recently, Habibi et al. [Extremal tetracyclic graphs with respect to the first and second Zagreb indices, Trans. on Combin. 5(4) (2016) 35–55.] characterized the graph having maximum [math] value among all members of the collection [math]. In this short note, an alternative but relatively simple approach is used for characterizing the aforementioned graph.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-06-13T09:37:13Z
      DOI: 10.1142/S179355711850064X
       
  • Ulam–Hyers Stability of Integrodifferential Equations in Banach Spaces
           via Pachpatte’s Inequality
    • Authors: Kishor D. Kucche, Pallavi U. Shikhare
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, Pachpatte’s inequality is employed to discuss the Ulam–Hyers stabilities for Volterra integrodifferential equations and Volterra delay integrodifferential equations in Banach spaces on both finite and infinite intervals. Examples are given to show the applicability of our obtained results.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-29T09:22:37Z
      DOI: 10.1142/S1793557118500626
       
  • Harmonic curvatures of the strip in Minkowski space
    • Authors: Filiz Ertem Kaya, Ayşe Yavuz
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This study aimed to give definitions and relations between strip theory and harmonic curvatures of the strip in Minkowski space. Previously, the same was done in Euclidean Space (see [F. Ertem Kaya, Y. Yayli and H. H. Hacısalihoglu, A characterization of cylindrical helix strip, Commun. Fac. Sci. Univ. Ank. Ser. A1 59(2) (2010) 37–51]). The present paper gives for the first time a generic characterization of the harmonic curvatures of the strip, helix strip and inclined strip in Minkowski space.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-26T08:07:14Z
      DOI: 10.1142/S1793557118500614
       
  • Generalization of cyclic refinements of Jensen inequality by montgomery
           identity and Green’s function
    • Authors: Nasir Mehmood, Saad Ihsan Butt, Josip Pečarić
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We consider discrete and continuous cyclic refinements of Jensen’s inequality and generalize them from convex function to higher order convex function by means of Lagrange Green’s function and Montgomery identity. We give application of our results by formulating the monotonicity of the linear functionals obtained from generalized identities utilizing the theory of inequalities for [math]-convex functions at a point. We compute Grüss and Ostrowski type bounds for generalized identities associated with the obtained inequalities. Finally, we investigate the properties of linear functionals regarding exponential convexity log convexity and mean value theorems.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-26T08:07:13Z
      DOI: 10.1142/S1793557118500602
       
  • Cohomology of [math] acting on the space of superpseudodifferential
           operators on the supercircle [math]
    • Authors: Hafedh Khalfoun, Nizar Ben Fraj, Meher Abdaoui
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      We investigate the first differential cohomology space associated with the embedding of the affine Lie superalgebra [math] on the [math]-dimensional supercircle [math] in the Lie superalgebra [math] of superpseudodifferential operators with smooth coefficients, where [math]. Following Ovsienko and Roger, we give explicit expressions of the basis cocycles. We study the deformations of the structure of the [math]-module [math]. We prove that any formal deformation is equivalent to its infinitesimal part.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-24T06:32:49Z
      DOI: 10.1142/S1793557118500572
       
  • On the endomorphism monoids of Clifford semigroups
    • Authors: Somnuek Worawiset
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we study properties of the endomorphism monoids of strong semilattices of groups. In Sec. [2], several properties for endomorphism monoids of finite semilattices are investigated. In Sec. [3], we collect some results on endomorphism monoids of strong semilattices of groups, i.e. Clifford semigroups.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-24T06:32:49Z
      DOI: 10.1142/S1793557118500596
       
  • The essential ideal graph of a commutative ring
    • Authors: J. Amjadi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a commutative ring with identity. The essential ideal graph of [math], denoted by [math], is a graph whose vertex set is the set of all nonzero proper ideals of [math] and two vertices [math] and [math] are adjacent whenever [math] is an essential ideal. In this paper, we initiate the study of the essential ideal graph of a commutative ring and we investigate its properties.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-24T06:32:48Z
      DOI: 10.1142/S1793557118500584
       
  • Solution of certain Pell equations
    • Authors: Zahid Raza, Hafsa Masood Malik
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be any positive integers such that [math] and [math] is a square free positive integer of the form [math] where [math] and [math] The main focus of this paper is to find the fundamental solution of the equation [math] with the help of the continued fraction of [math] We also obtain all the positive solutions of the equations [math] and [math] by means of the Fibonacci and Lucas sequences. Furthermore, in this work, we derive some algebraic relations on the Pell form [math] including cycle, proper cycle, reduction and proper automorphism of it. We also determine the integer solutions of the Pell equation [math] in terms of [math] We extend all the results of the papers [3, 10, 27, 37].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-17T02:36:01Z
      DOI: 10.1142/S1793557118500560
       
  • Difference analogues of the second main theorem of zero-order meromorphic
           mappings for slowly moving targets
    • Authors: Pham Duc Thoan
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, we show some Second Main Theorems for zero-order meromorphic mappings intersecting slowly moving targets in [math] by considering their [math]-Casorati determinant. Our results are [math]-difference analogues of Cartan’s Second Main Theorem for moving targets. As an application, we give an unicity theorem for meromorphic mappings of [math] into [math] under the growth condition “order [math]”.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-16T07:13:16Z
      DOI: 10.1142/S1793557118500535
       
  • Engel type identities with generalized derivations in prime rings
    • Authors: Basudeb Dhara, Krishna Gopal Pradhan, Shailesh Kumar Tiwari
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a noncommutative prime ring with its Utumi ring of quotients [math], [math] the extended centroid of [math], [math] a generalized derivation of [math] and [math] a nonzero ideal of [math]. If [math] satisfies any one of the following conditions: (i)[math], [math], [math], (ii)[math], where [math] is a fixed integer, then one of the following holds: (1)there exists [math] such that [math] for all [math]; (2)[math] satisfies [math] and there exist [math] and [math] such that [math] for all [math]; (3)char [math], [math] satisfies [math] and there exist [math] and an outer derivation [math] of [math] such that [math] for all [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-16T07:13:16Z
      DOI: 10.1142/S1793557118500559
       
  • Bounds related to projective equivalence classes of good filtrations
    • Authors: Abdoulaye Assane, Damase Kamano, Eric Dago Akeke
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a regular ideal in noetherian ring [math]. Mc Adam and Ratliff showed the existence of the unique minimal reduction number of [math], noted [math], such that for every minimal reduction [math] of [math], [math] and [math]. They showed that the set of integers [math] is bounded in terms of the analytic spread of [math]. Here, we extend these results to good filtrations. Let [math] be a good filtration on [math], we show that the set of integers [math] is bounded.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-16T07:13:15Z
      DOI: 10.1142/S1793557118500523
       
  • On chaos for iterated function systems
    • Authors: Alireza Zamani Bahabadi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This paper is devoted to study some chaotic properties of iterated function systems (IFSs). Specially, a new notion named thick chaotic IFSs is introduced. The relationship between thick chaos and another properties of some notions in dynamical systems are studied.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-16T07:13:15Z
      DOI: 10.1142/S1793557118500547
       
  • Multiplicative [math]-derivation in alternative algebras
    • Authors: M. V. L. Bharathi, K. Jayalakshmi
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Every multiplicative [math]-derivation of an alternative algebra [math] is additive if there exits an idempotent [math] in [math] satisfying the following conditions: (i) [math] implies [math]; (ii) [math] implies [math]; (iii) [math] implies [math] for [math]. In particular, every [math]-derivation of a prime alternative algebra with a nontrivial idempotent is additive. This generalizes the known result obtained by Rodrigues, Guzzo and Ferreira for [math]-derivations. As an application, we apply multiplicative [math]-derivation to an alternative complex algebra [math] of all [math] complex matrices to see how it decomposes into a sum of [math]-inner derivation and a [math]-derivation on [math] given by an additive derivation [math] on [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-08T04:14:55Z
      DOI: 10.1142/S1793557118500511
       
  • On [math]-derivations of Filippov algebras
    • Authors: F. Saeedi, S. Sheikh-Mohseni
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      Let [math] be a Filippov algebra. A derivation of [math] is called an [math]-derivation if its image is contained in the derived algebra of [math]. Let [math] be the set of all [math]-derivations which map central elements to [math]. We prove that [math] and [math] are isomorphic for any two isoclinic Filippov algebras [math] and [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-02T09:17:10Z
      DOI: 10.1142/S179355711850050X
       
  • A generalized superposition of linear tree languages and products of
           linear tree languages
    • Authors: Pongsakorn Kitpratyakul, Bundit Pibaljommee
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      A linear tree language of type [math] is a set of linear terms, terms containing no multiple occurrences of the same variable, of that type. Instead of the usual generalized superposition of tree languages, we define the generalized linear superposition to deal with linear tree languages and study its properties. Using this superposition, we define the product of linear tree languages. This product is not associative on the collection of all linear tree languages, but it is associative on some subsets of this collection whose products of any element in the subsets are nonempty. We classify such subsets and study properties of the obtained semigroup especially idempotent elements, regular elements, and Green’s relations [math] and [math].
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-02T09:16:44Z
      DOI: 10.1142/S1793557118500481
       
  • Boundedness of composition operators between weighted Bergman spaces
    • Authors: Elke Wolf
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This paper contained mathematical errors and its publication has been retracted from AEJM.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-04-21T03:41:31Z
      DOI: 10.1142/S1793557118500420
       
  • On irrational Brun-type constants
    • Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      This paper is removed because it was found to be a plagiarism from another published journal paper.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-01-10T08:32:21Z
      DOI: 10.1142/S1793557117500796
       
  • On generalization of weighted Ostrowski type inequalities for functions of
           bounded variation
    • Authors: Huseyin Budak, Mehmet Zeki Sarikaya
      Pages: 1 - 11
      Abstract: Asian-European Journal of Mathematics, Ahead of Print.
      In this paper, some generalization of weighted Ostrowski type integral inequalities for mappings of bounded variation are obtained and some interesting inequalities as special cases are given.
      Citation: Asian-European Journal of Mathematics
      PubDate: 2017-05-02T09:17:04Z
      DOI: 10.1142/S1793557118500493
       
 
 
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