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  Subjects -> MATHEMATICS (Total: 888 journals)
    - APPLIED MATHEMATICS (73 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (658 journals)
    - MATHEMATICS (GENERAL) (42 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (76 journals)

MATHEMATICS (658 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: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 25)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 8)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
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: 15)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 4)
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: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
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 Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 7)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
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)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
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: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 1)
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: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 9)
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 the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
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: 20)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
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: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
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: 9)
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: 4)
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: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
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: 28)
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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     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 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: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)

        1 2 3 4 | Last

Journal Cover Applied Mathematics Letters
  [SJR: 1.141]   [H-I: 65]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0893-9659
   Published by Elsevier Homepage  [3051 journals]
  • Inverse problem of potential theory
    • Authors: A.G. Ramm
      Pages: 1 - 5
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): A.G. Ramm
      P. Novikov in 1938 has proved that if u 1 ( x ) = u 2 ( x ) for x > R , where R > 0 is a large number, u j ( x ) ≔ ∫ D j g 0 ( x , y ) d y , g 0 ( x , y ) ≔ 1 4 π x − y , and D j ⊂ R 3 , j = 1 , 2 , D j ⊂ B R , are bounded, connected, smooth domains, star-shaped with respect to a common point, then D 1 = D 2 . Here B R ≔ { x : x ≤ R } . Our basic results are: (a) the removal of the assumption about star-shapeness of D j , (b) a new approach to the problem, (c) the construction of counter-examples for a similar problem in which g 0 is replaced by g = e i k x − y 4 π x − y , where k > 0 is a fixed constant.

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.09.012
      Issue No: Vol. 77 (2017)
       
  • Generalized integral inequality: Application to time-delay systems
    • Authors: M.J. Park; O.M. Kwon; J.H. Ryu
      Pages: 6 - 12
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): M.J. Park, O.M. Kwon, J.H. Ryu
      This paper investigates a stability problem for linear systems with time-delay. By constructing simple Lyapunov–Krasovskii functional (LKF), and utilizing a new generalized integral inequality (GII) proposed in this paper, a sufficient stability condition for the systems will be derived in terms of linear matrix inequalities (LMIs). Two illustrative examples are given to show the superiorities of the proposed criterion.

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.09.010
      Issue No: Vol. 77 (2017)
       
  • Infinite propagation speed and asymptotic behavior for a generalized
           Camassa–Holm equation with cubic nonlinearity
    • Authors: Wenjun Cui; Lijia Han
      Pages: 13 - 20
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Wenjun Cui, Lijia Han
      This paper is devoted to the study of the infinite propagation speed and the asymptotic behavior for a generalized Camassa–Holm equation with cubic nonlinearity. First, we get the infinite propagation speed in the sense that the corresponding solution with compactly supported initial data does not have compact support any longer in its lifespan. Then, the asymptotic behavior of the solution at infinity is investigated. Especially, we prove that the solution decays algebraically with the same exponent as that of the initial data.

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.09.011
      Issue No: Vol. 77 (2017)
       
  • Finite time blowup for nonlinear Klein–Gordon equations with arbitrarily
           positive initial energy
    • Authors: Yanbing Yang; Runzhang Xu
      Pages: 21 - 26
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Yanbing Yang, Runzhang Xu
      This paper is concerned with the finite time blow up of the solution to the Cauchy problem for the Klein–Gordon equation at arbitrarily positive initial energy level. By introducing a new auxiliary function and an adapted concavity method we establish some sufficient conditions on initial data such that the solution blows up in finite time, which extends the results established in Wang (2008).

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.09.014
      Issue No: Vol. 77 (2017)
       
  • Existence and uniqueness of mild solutions to the magneto-hydro-dynamic
           equations
    • Authors: Zhong Tan; Wenpei Wu; Jianfeng Zhou
      Pages: 27 - 34
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Zhong Tan, Wenpei Wu, Jianfeng Zhou
      In this paper, we consider the incompressible magneto-hydro-dynamic equations in the whole space. We first show that there exist global mild solutions with small initial data in the scaling invariant space. The main technique we have used is implicit function theorem which yields necessarily continuous dependence of solutions for the initial data. Moreover, we gain the asymptotic stability of solutions as the time goes to infinity. Finally, as a byproduct of our construction of solutions in the weak L p -spaces, the existence of self-similar solutions was established provided the initial data are small homogeneous functions.

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.09.013
      Issue No: Vol. 77 (2017)
       
  • Delta shock wave solution for a symmetric Keyfitz–Kranzer system
    • Authors: Chun Shen
      Pages: 35 - 43
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Chun Shen
      The Riemann solutions for a symmetric Keyfitz–Kranzer system are constructed explicitly, in which some singular hyperbolic waves are discovered such as the delta shock wave and the composite wave J R . The global solutions to the double Riemann problem are achieved when the delta shock wave is involved. It is shown that a delta shock wave is separated into a delta contact discontinuity and a shock wave during the process of constructing solutions.

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.09.016
      Issue No: Vol. 77 (2017)
       
  • Cluster method in composites and its convergence
    • Authors: Vladimir Mityushev
      Pages: 44 - 48
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Vladimir Mityushev
      Extensions of Maxwell’s self-consistent approach from single- to n - inclusions problems lead to cluster methods applied to computation of the effective properties of composites. We describe applications of Maxwell’s formalism to finite clusters and explain the uncertainty arising when n tends to infinity by study of the corresponding conditionally convergent series.

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.10.001
      Issue No: Vol. 77 (2017)
       
  • An optimal reproducing kernel method for linear nonlocal boundary value
           problems
    • Authors: F.Z. Geng; S.P. Qian
      Pages: 49 - 56
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): F.Z. Geng, S.P. Qian
      Based on the piecewise polynomial reproducing kernels, the authors presented the reproducing kernel method(RKM) for nonlocal boundary value problems. In this paper, we will present an optimal RKM for linear nonlocal boundary value problems by combining the piecewise polynomial kernel with polynomial kernel. The method is of high accuracy. Also, the method can avoid reducing the inhomogeneous boundary conditions to homogeneous boundary conditions and constructing reproducing kernel satisfying corresponding homogeneous boundary conditions. Numerical examples are included to demonstrate the validity of the new method.

      PubDate: 2017-11-08T10:47:52Z
      DOI: 10.1016/j.aml.2017.10.002
      Issue No: Vol. 77 (2017)
       
  • New oscillation criteria for third-order neutral differential equations
           with continuously distributed delay
    • Authors: Shaoqin Gao; Zimeng Chen; Wenying Shi
      Pages: 64 - 71
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Shaoqin Gao, Zimeng Chen, Wenying Shi
      In this paper, we establish some new criteria for oscillation and asymptotic behavior of solutions of a certain class of third-order neutral differential equations with continuously distributed delay. We study the case of noncanonical equations subject to various conditions. An example is given to illustrate the main results.

      PubDate: 2017-11-08T10:47:52Z
      DOI: 10.1016/j.aml.2017.09.009
      Issue No: Vol. 77 (2017)
       
  • Representation of a solution for a fractional linear system with pure
           delay
    • Authors: Chengbin Liang; JinRong Wang; D. O’Regan
      Pages: 72 - 78
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Chengbin Liang, JinRong Wang, D. O’Regan
      This paper gives a representation of a solution to the Cauchy problem for a fractional linear system with pure delay. We introduce the fractional delayed matrices cosine and sine of a polynomial of degree and establish some properties. Then, we use the variation of constants method to obtain the solution and our results extend those for second order linear system with pure delay. As an application, the representation of a solution is used to obtain a finite time stability result.

      PubDate: 2017-11-08T10:47:52Z
      DOI: 10.1016/j.aml.2017.09.015
      Issue No: Vol. 77 (2017)
       
  • On the convergence of the time reversal method for thermoacoustic
           tomography in elastic media
    • Authors: Vitaly Katsnelson; Linh V. Nguyen
      Pages: 79 - 86
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Vitaly Katsnelson, Linh V. Nguyen
      In this article, we consider the inverse source problem arising in thermo/photo-acoustic tomography in elastic media. We show that the time reversal method, proposed by Tittelfitz (2012), converges with the sharp observation time without any constraint on the speeds of the longitudinal and shear waves.

      PubDate: 2017-11-08T10:47:52Z
      DOI: 10.1016/j.aml.2017.10.004
      Issue No: Vol. 77 (2017)
       
  • Positive solutions for superdiffusive mixed problems
    • Authors: Nikolaos S. Papageorgiou; Vicenţiu D. Rădulescu; Dušan D. Repovš
      Pages: 87 - 93
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu, Dušan D. Repovš
      We study a semilinear parametric elliptic equation with superdiffusive reaction and mixed boundary conditions. Using variational methods, together with suitable truncation techniques, we prove a bifurcation-type theorem describing the nonexistence, existence and multiplicity of positive solutions.

      PubDate: 2017-11-08T10:47:52Z
      DOI: 10.1016/j.aml.2017.09.017
      Issue No: Vol. 77 (2017)
       
  • Novel differential quadrature element method for vibration analysis of
           hybrid nonlocal Euler–Bernoulli beams
    • Authors: Xinwei Wang
      Pages: 94 - 100
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Xinwei Wang
      A novel differential quadrature element method is presented for free vibration analysis of hybrid nonlocal Euler–Bernoulli beams with any combination of boundary conditions. Explicit formulas of computing the weighting coefficients of various derivatives are derived. Sixth-order differential equations are successfully solved by using the proposed method. Accurate frequencies are obtained and presented. The proposed method can be also used for accurate solutions of various sixth-order differential equations and beam structures with minimum computational effort.

      PubDate: 2017-11-08T10:47:52Z
      DOI: 10.1016/j.aml.2017.10.003
      Issue No: Vol. 77 (2017)
       
  • Periodic solutions with equal period for the
           Friedmann–Robertson–Walker model
    • Authors: Aiyong Chen; Caixing Tian; Wentao Huang
      Pages: 101 - 107
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Aiyong Chen, Caixing Tian, Wentao Huang
      In this letter, we study the periodic solutions of the equation of barotropic Friedmann–Robertson–Walker cosmologies. Using variable transformation, the original second order ordinary differential equation is converted to a planar dynamical system. We prove that the planar dynamical system has two isochronous centers under certain parameter conditions by using Picard–Fuchs equation. Consequently, we find that there exist two families of periodic solutions with equal period for the Friedmann–Robertson–Walker model.

      PubDate: 2017-11-16T11:52:12Z
      DOI: 10.1016/j.aml.2017.10.007
      Issue No: Vol. 77 (2017)
       
  • A numerical method for solving the two-dimensional distributed order
           space-fractional diffusion equation on an irregular convex domain
    • Authors: Wenping Fan; Fawang Liu
      Pages: 114 - 121
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Wenping Fan, Fawang Liu
      In this paper, the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain is considered. The finite element method using unstructured mesh adapted to the irregular domain is proposed to solve the considered equation. To testify the efficiency of the proposed method, two numerical examples are given. By the error analysis and the comparison between the numerical solution and the exact solution, the finite element method applied in this paper is shown to be valid in solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain.

      PubDate: 2017-11-16T11:52:12Z
      DOI: 10.1016/j.aml.2017.10.005
      Issue No: Vol. 77 (2017)
       
  • On a positive decomposition of entropy production functional for the
           polyatomic BGK model
    • Authors: Sa Jun Park; Seok-Bae Yun
      Pages: 122 - 129
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Sa Jun Park, Seok-Bae Yun
      In this paper, we show that the entropy production functional for the polyatomic ellipsoidal BGK model can be decomposed into two non-negative parts. Two applications of this property: the H -theorem for the polyatomic BGK model and the weak compactness of the polyatomic ellipsoidal relaxation operator, are discussed.

      PubDate: 2017-11-16T11:52:12Z
      DOI: 10.1016/j.aml.2017.10.010
      Issue No: Vol. 77 (2017)
       
  • Asymptotic integration of second-order impulsive differential equations
    • Authors: S.D. Akgöl; A. Zafer
      Pages: 1 - 7
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): S.D. Akgöl, A. Zafer
      We initiate a study of the asymptotic integration problem for second-order nonlinear impulsive differential equations. It is shown that there exist solutions asymptotic to solutions of an associated linear homogeneous impulsive differential equation as in the case for equations without impulse effects. We introduce a new constructive method that can easily be applied to similar problems. An illustrative example is also given.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.010
      Issue No: Vol. 76 (2017)
       
  • On the solution of a class of complex symmetric linear systems
    • Authors: Maeddeh Pourbagher; Davod Khojasteh Salkuyeh
      Pages: 14 - 20
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Maeddeh Pourbagher, Davod Khojasteh Salkuyeh
      We present an iterative method for solving the complex symmetric system ( W + i T ) x = b , where T ∈ R n × n is a positive definite matrix and W ∈ R n × n is indefinite. Convergence of the method is investigated. The induced preconditioner is applied to accelerate the convergence rate of the GMRES( ℓ ) method and the numerical results are compared with those of the Hermitian normal splitting (HNS) preconditioner.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.013
      Issue No: Vol. 76 (2017)
       
  • Two-soliton solution to a generalized KP equation with general variable
           coefficients
    • Authors: Mingliang Wang; Xiangzheng Li; Jinliang Zhang
      Pages: 21 - 27
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Mingliang Wang, Xiangzheng Li, Jinliang Zhang
      A nonlinear transformation to a generalized KP equation with general variable coefficients (gvcKP) has been derived by using the simplified homogeneous balance method (SHB). The nonlinear transformation converts gvcKP into a quadratic homogeneity equation to be solved. The quadratic homogeneity equation admits exponential function solutions, thus one-soliton and two-soliton solutions of gvcKP can be obtained by means of the nonlinear transformation derived in the paper. As the special cases of gvcKP, several generalized KP equations with different form and the corresponding results of them are also given.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.011
      Issue No: Vol. 76 (2017)
       
  • An evolution problem related to nonlinear 2d-magnetoelasticity
    • Authors: Viatcheslav Priimenko; Mikhail Vishnevskii
      Pages: 28 - 33
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Viatcheslav Priimenko, Mikhail Vishnevskii
      There is studied a two-dimensional initial–boundary-value problem for the Lamé and Maxwell equations coupled through the nonlinear magnetoelastic effect. We prove the existence and uniqueness result.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.014
      Issue No: Vol. 76 (2017)
       
  • New robustness bounds for neutral type delay systems via functionals with
           prescribed derivative
    • Authors: Irina V. Alexandrova
      Pages: 34 - 39
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Irina V. Alexandrova
      The paper is devoted to the robust stability analysis of linear neutral type time delay systems with a constant delay and norm-bounded uncertainties. The method is based on the Lyapunov–Krasovskii functional with a derivative prescribed as a negative definite quadratic form of the “current” system state, which is considered to be not suitable for the robustness analysis due to the fact that it does not admit a quadratic lower bound. Unlike existing results, our approach does not require the derivative of the functional along the solutions of the perturbed system to be negative definite. Instead, we need just an essential part of the integral of the derivative to be negative. The resulting stability condition is presented in the form of a simple inequality depending on the so-called Lyapunov matrix, under an assumption that the difference operator of the perturbed system is stable. The result is applicable to all exponentially stable systems.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.009
      Issue No: Vol. 76 (2017)
       
  • Global attractor of the Kirchhoff wave models with strong nonlinear
           damping
    • Authors: Pengyan Ding; Zhijian Yang; Yanan Li
      Pages: 40 - 45
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Pengyan Ding, Zhijian Yang, Yanan Li
      The paper investigates the existence of global attractor of Kirchhoff type equations with strong nonlinear damping: u t t − σ ( ‖ ∇ u ‖ 2 ) Δ u t − ϕ ( ‖ ∇ u ‖ 2 ) Δ u + f ( u ) = h ( x ) . It proves that when the growth exponent p of the nonlinearity f ( u ) is up to the supercritical range: N + 2 N − 2 ≡ p ∗ < p < p ∗ ∗ ≡ N + 4 ( N − 4 ) + ( N ≥ 3 ) , the related solution semigroup still has a global attractor (rather than a partially strong one as known before) in natural energy space.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.008
      Issue No: Vol. 76 (2017)
       
  • A remark on stationary distribution of a stochastic SIR epidemic model
           with double saturated rates
    • Authors: Yan Zhang; Kuangang Fan; Shujing Gao; Shihua Chen
      Pages: 46 - 52
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Yan Zhang, Kuangang Fan, Shujing Gao, Shihua Chen
      In this paper, we propose and discuss a stochastic SIR epidemic model with saturated treatment and incidence rates. The existence and uniqueness of the global positive solution are achieved. By constructing suitable Lyapunov functions and using Khasminskii’s theory, we establish appropriate conditions to prove that the stochastic model has a unique stationary distribution and the ergodicity holds. Moreover, sufficient conditions that guarantee the epidemic disease’s extinction are given.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.08.002
      Issue No: Vol. 76 (2017)
       
  • Multiple solutions for the fractional Laplacian problems with different
           asymptotic limits near infinity
    • Authors: Yutong Chen; Jiabao Su
      Pages: 60 - 65
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Yutong Chen, Jiabao Su
      In this paper we obtain the existence of two one-sign nontrivial solutions for the fractional Laplacian equations with the nonlinearity having different asymptotic limits at infinity via the mountain pass theorem and the cut-off techniques.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.012
      Issue No: Vol. 76 (2017)
       
  • Lower bounds for the blow-up time to a nonlinear viscoelastic wave
           equation with strong damping
    • Authors: Xiaoming Peng; Yadong Shang; Xiaoxiao Zheng
      Pages: 66 - 73
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Xiaoming Peng, Yadong Shang, Xiaoxiao Zheng
      This paper deals with a nonlinear viscoelastic wave equation with strong damping. Under certain conditions on the initial data and the relaxation function, a lower bound for the blow-up time is given by means of a first order differential inequality technique.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.08.003
      Issue No: Vol. 76 (2017)
       
  • On optimal convergence rates of a two-dimensional fast multipole method
    • Authors: Shuhuang Xiang; Guidong Liu
      Pages: 74 - 80
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Shuhuang Xiang, Guidong Liu
      The optimal convergence rates on fast multipole methods (FMMs) for different Green’s functions are considered. Simpler convergence analysis and the more accurate convergence rates are presented.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.08.005
      Issue No: Vol. 76 (2017)
       
  • The Riemann–Hilbert problem and long-time asymptotics for the
           Kundu–Eckhaus equation with decaying initial value
    • Authors: Qiaozhen Zhu; Jian Xu; Engui Fan
      Pages: 81 - 89
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Qiaozhen Zhu, Jian Xu, Engui Fan
      We present a Riemann–Hilbert problem formalism for the initial value problem of the Kundu–Eckhaus equation on the line. The long-time asymptotic for the solutions of the Kundu–Eckhaus equation is further analyzed via the Deift–Zhou nonlinear steepest descent method.

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.08.006
      Issue No: Vol. 76 (2017)
       
  • Three solutions for a fractional Schrödinger equation with vanishing
           potentials
    • Authors: Zhipeng Yang; Fukun Zhao
      Pages: 90 - 95
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Zhipeng Yang, Fukun Zhao
      In this paper, we study the following fractional Schrödinger equation ( − Δ ) s u + V ( x ) u = K ( x ) f ( u ) + λ W ( x ) u p − 2 u , x ∈ R N , where λ > 0 is a parameter, ( − Δ ) s denotes the fractional Laplacian of order s ∈ ( 0 , 1 ) , N > 2 s , W ∈ L 2 2 − p ( R N , R + ) , 1 < p < 2 , V , K are nonnegative continuous functions and f is a continuous function with a quasicritical growth. Under some mild assumptions, we prove that the above equation has three solutions.

      PubDate: 2017-10-26T08:16:32Z
      DOI: 10.1016/j.aml.2017.08.004
      Issue No: Vol. 76 (2017)
       
  • Eigenvalue ratios for Schrödinger operators with indefinite
           potentials
    • Authors: Jamel Ben Amara; Jihed Hedhly
      Pages: 96 - 102
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Jamel Ben Amara, Jihed Hedhly
      We consider the Schrödinger equation − y ′ ′ + q ( x ) y = λ y , on a finite interval with Dirichlet boundary conditions, where q ( x ) is of indefinite sign. In the case of symmetric potentials, we prove the optimal lower bound λ n λ 1 ≥ n 2 (resp. upper bound λ n λ 1 ≤ n 2 ) for single-well q with λ 1 > 0 and μ 1 ≤ 0 (resp. single-barrier q and μ 1 ≥ 0 ), where μ 1 is the first eigenvalue of the Neumann boundary problem. In the case of nonsymmetric potentials, we prove the optimal lower bound λ 2 λ 1 ≥ 4 for single-well q with transition point at x = 1 2 , λ 1 > 0 and μ = max ( μ ˆ 1 , μ ̃ 1 ) ≤ 0 , where μ ˆ 1 and μ ̃ 1 are the first eigenvalues of the Neumann boundary problems defined on [ 0 , 1 2 ] and [ 1 2 , 1 ] , respectively.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.006
      Issue No: Vol. 76 (2017)
       
  • A new spectral problem and the related integrable nonlinear evolution
           equations
    • Authors: Xiao Yang; Dianlou Du
      Pages: 110 - 116
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Xiao Yang, Dianlou Du
      A new spectral problem is introduced, which is indicated to be the negative counterpart of the mKdV spectral problem. Based on the fact, some integrable nonlinear evolution equations are obtained, including the derivative Schwarzian KdV equation, the mKdV5 equation and the sine–Gordon equation. Besides, Lax pairs and finite genus solutions of the equations are given.

      PubDate: 2017-09-14T00:47:43Z
      DOI: 10.1016/j.aml.2017.08.010
      Issue No: Vol. 76 (2017)
       
  • Finite-time blowup for the 3-D primitive equations of oceanic and
           atmospheric dynamics
    • Authors: Lin Zheng; Shu Wang
      Pages: 117 - 122
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Lin Zheng, Shu Wang
      In this paper we prove that for certain class of the initial data, the corresponding solutions of the 3-D viscous primitive equations without viscosity blow up in finite time. We find a specific solution to simplify the three dimensional systems, and furthermore, we construct a self-similar solution to solve the blow-up problem.

      PubDate: 2017-09-14T00:47:43Z
      DOI: 10.1016/j.aml.2017.08.007
      Issue No: Vol. 76 (2017)
       
  • Non-monotonic blow-up problems: Test problems with solutions in elementary
           functions, numerical integration based on non-local transformations
    • Authors: Andrei D. Polyanin; Inna K. Shingareva
      Pages: 123 - 129
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Andrei D. Polyanin, Inna K. Shingareva
      We consider blow-up problems having non-monotonic singular solutions that tend to infinity at a previously unknown point. For second-, third-, and fourth-order nonlinear ordinary differential equations, the corresponding multi-parameter test problems allowing exact solutions in elementary functions are proposed for the first time. A method of non-local transformations, that allows to numerically integrate non-monotonic blow-up problems, is described. A comparison of exact and numerical solutions showed the high efficiency of this method. It is important to note that the method of non-local transformations can be useful for numerical integration of other problems with large solution gradients (for example, in problems with solutions of boundary-layer type).

      PubDate: 2017-09-14T00:47:43Z
      DOI: 10.1016/j.aml.2017.08.009
      Issue No: Vol. 76 (2017)
       
  • Scaling invariant regularity criteria for the
           Navier–Stokes–Maxwell system
    • Authors: Caochuan Ma; Zaihong Jiang; Mingxuan Zhu
      Pages: 130 - 134
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Caochuan Ma, Zaihong Jiang, Mingxuan Zhu
      In this paper, we establish some scaling invariant regularity criteria for the Navier–Stokes–Maxwell system.

      PubDate: 2017-09-14T00:47:43Z
      DOI: 10.1016/j.aml.2017.08.011
      Issue No: Vol. 76 (2017)
       
  • Analytical properties of the perturbed FitzHugh–Nagumo model
    • Authors: Nikolay A. Kudryashov; Roman B. Rybka; Aleksander G. Sboev
      Pages: 142 - 147
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Nikolay A. Kudryashov, Roman B. Rybka, Aleksander G. Sboev
      Analytical properties of the well-known FitzHugh–Nagumo model are studied. It is shown that the standard FitzHugh–Nagumo model does not pass the Painlevé test in the general case and does not have any meromorphic solutions because there are not any expansions of the general solution in the Laurent series. We demonstrate that the introduction of a nonlinear perturbation into the standard system of equations does not lead to the Painlevé property as well. However, in this case there are expansions of the general solution of the system of equations in the Laurent series for some values of parameters. This allows us to look for some exact solutions of the system of the perturbed FitzHugh–Nagumo model. We find some exact solutions of the perturbed FitzHugh–Nagumo system of equations in the form of kinks. These exact solutions can be used for testing numerical simulations of the system of equations corresponding to the FitzHugh–Nagumo model.

      PubDate: 2017-09-20T00:55:53Z
      DOI: 10.1016/j.aml.2017.08.013
      Issue No: Vol. 76 (2017)
       
  • Nonlinear Choquard equations: Doubly critical case
    • Authors: Jinmyoung Seok
      Pages: 148 - 156
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Jinmyoung Seok
      Consider nonlinear Choquard equations − Δ u + u = ( I α ∗ F ( u ) ) F ′ ( u ) in  R N , lim x → ∞ u ( x ) = 0 , where I α denotes Riesz potential and α ∈ ( 0 , N ) . In this paper, we show that when F is doubly critical, i.e. F ( u ) = N N + α u N + α N + N − 2 N + α u N + α N − 2 , the nonlinear Choquard equation admits a nontrivial solution if N ≥ 5 and α + 4 < N .

      PubDate: 2017-09-20T00:55:53Z
      DOI: 10.1016/j.aml.2017.08.016
      Issue No: Vol. 76 (2017)
       
  • Analysis of the Gibbs phenomenon in stationary subdivision schemes
    • Authors: Sergio Amat; Juan Ruiz; J. Carlos Trillo; Dionisio F. Yáñez
      Pages: 157 - 163
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Sergio Amat, Juan Ruiz, J. Carlos Trillo, Dionisio F. Yáñez
      In this paper sufficient conditions to determine if a stationary subdivision scheme produces Gibbs oscillations close to discontinuities are presented. It consists of the positivity of the partial sums of the values of the mask. We apply the conditions to non-negative masks and analyze (numerically when the sufficient conditions are not satisfied) the Gibbs phenomenon in classical and recent subdivision schemes like B-splines, Deslauriers and Dubuc interpolation subdivision schemes and the schemes proposed in Siddiqi and Ahmad (2008).

      PubDate: 2017-09-20T00:55:53Z
      DOI: 10.1016/j.aml.2017.08.014
      Issue No: Vol. 76 (2017)
       
  • Darboux transformation and soliton solutions in the parity-time-symmetric
           nonlocal vector nonlinear Schrödinger equation
    • Authors: Hai-Qiang Zhang; Meng-Yue Zhang; Rui Hu
      Pages: 170 - 174
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Hai-Qiang Zhang, Meng-Yue Zhang, Rui Hu
      In this Letter, we study a nonlocal vector nonlinear Schrödinger (NVNLS) equation with self-induced parity-time-symmetric potential. We construct the N -fold Darboux transformation in terms of compact determinant forms. Starting from the non-vanishing background, we give the general solution of spectral problem, which allows us to derive many different types of exact analytical solutions of the NVNLS equation, like the breathers, dark and anti-dark solitons. With three-component case as an example, we display three types of two-soliton elastic collision behaviors: breather and dark soliton, breather and anti-dark soliton, dark soliton and anti-dark soliton.

      PubDate: 2017-10-04T02:35:47Z
      DOI: 10.1016/j.aml.2017.09.002
      Issue No: Vol. 76 (2017)
       
  • Liouville theorem for the steady-state solutions of Q-tensor system of
           liquid crystal
    • Authors: Huajun Gong; Xian-gao Liu; Xiaotao Zhang
      Pages: 175 - 180
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Huajun Gong, Xian-gao Liu, Xiaotao Zhang
      In this article, we study the steady-state solutions of the coupled Navier–Stokes and Q-tensor system in R d . We proved the Liouville theorem that u = 0 , Q = 0 with the conditions u ∈ L 3 d d − 1 ( R d ) ∩ H ̇ 1 ( R d ) , Q ∈ H 2 ( R d ) and b 2 − 24 a c ≤ 0 ( d = 2 , 3 ).

      PubDate: 2017-10-04T02:35:47Z
      DOI: 10.1016/j.aml.2017.08.019
      Issue No: Vol. 76 (2017)
       
  • Global mild solution of the generalized Navier–Stokes equations with
           the Coriolis force
    • Authors: Weihua Wang; Gang Wu
      Pages: 181 - 186
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Weihua Wang, Gang Wu
      In this paper, we establish the global well-posedness of mild solution to the three-dimensional incompressible generalized Navier–Stokes equations with Coriolis force if the initial data are in X 1 − 2 α defined by X 1 − 2 α = { u ∈ D ′ ( R 3 ) : ∫ R 3 ξ 1 − 2 α u ˆ ( ξ ) d ξ < + ∞ } . In addition, we also give Gevrey class regularity of the solution.

      PubDate: 2017-10-04T02:35:47Z
      DOI: 10.1016/j.aml.2017.09.001
      Issue No: Vol. 76 (2017)
       
  • Solutions with radial symmetry for a semilinear elliptic system with
           weights
    • Authors: Dragos-Patru Covei
      Pages: 187 - 194
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Dragos-Patru Covei
      In this paper, we provide sufficient conditions for the boundedness and unboundedness of the entire solutions for a semilinear elliptic system of the following type Δ u = p 1 x f u , v , x ∈ R N  ,  Δ v = p 2 x g u , x ∈ R N , N ≥ 3 . Here p 1 , f , p 2 and g are continuous functions satisfying certain properties. Furthermore, we study the case where the system is not of a variational type. Our results are obtained by a straightforward application of the Arzela–Ascoli theorem.

      PubDate: 2017-10-04T02:35:47Z
      DOI: 10.1016/j.aml.2017.09.003
      Issue No: Vol. 76 (2017)
       
  • The unique solution of the absolute value equations
    • Authors: Shi-Liang Wu; Cui-Xia Li
      Pages: 195 - 200
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Shi-Liang Wu, Cui-Xia Li
      In this paper, we focus on the unique solution of the absolute value equations (AVE). Using an equivalence relation to the linear complementarity problem (LCP), two necessary and sufficient conditions for the unique solution of the AVE are presented. Based on the obtained results, some new sufficient conditions for the unique solution of the AVE are obtained.

      PubDate: 2017-10-04T02:35:47Z
      DOI: 10.1016/j.aml.2017.08.012
      Issue No: Vol. 76 (2017)
       
  • Almost sure exponential stability sensitive to small time delay of
           stochastic neutral functional differential equations
    • Authors: Kai Liu
      Abstract: Publication date: March 2018
      Source:Applied Mathematics Letters, Volume 77
      Author(s): Kai Liu
      In this work, we establish a theory about the almost sure pathwise exponential stability property for a class of stochastic neutral functional differential equations by developing a semigroup scheme for the drift part of the systems under consideration and dealing with their pathwise stability through a perturbation approach, rather than through that one to get their moment stability first. As an illustration, we can show that some stochastic systems have their almost sure exponential stability not sensitive to small delays.

      PubDate: 2017-11-08T10:47:52Z
       
  • Minimal wave speed of competitive diffusive systems with time delays
    • Authors: Guo Lin
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Guo Lin
      This paper is concerned with the minimal wave speed of competitive diffusive systems, of which the corresponding wave system is of infinite dimensional. By constructing upper and lower solutions, the existence of traveling wave solutions is confirmed, which shows the minimal wave speed. Therefore, it completes the known results.

      PubDate: 2017-09-20T00:55:53Z
       
  • Radial solutions for quasilinear Schrödinger equations without
           4-superlinear condition
    • Authors: Xian
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Ke Wu, Xian Wu
      We consider the existence of radial solutions for the quasilinear Schrödinger equation − △ u + V ( x ) u − κ u △ u 2 = u p − 2 u , x ∈ R N . where κ > 0 , N ≥ 3 , 2 < p < 2 2 ∗ and V ∈ C 1 ( R ) . Here we are interested in the case that 2 < p ≤ 4 since the existence of solutions for 4 < p < 2 2 ∗ can be easily obtained by a standard variational argument. Our method is based on the Pohožaev type identity.

      PubDate: 2017-09-02T10:41:09Z
       
 
 
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