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  Subjects -> MATHEMATICS (Total: 864 journals)
    - APPLIED MATHEMATICS (68 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (643 journals)
    - MATHEMATICS (GENERAL) (40 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (75 journals)

MATHEMATICS (643 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
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: 20)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 9)
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: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 4)
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: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 15)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 3)
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: 5)
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: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
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: 9)
Algorithms Research     Open Access  
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
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)
American Mathematical Monthly     Full-text available via subscription   (Followers: 5)
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: 4)
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: 8)
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: 6)
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 Numerical Analysis & Computational Mathematics     Hybrid Journal   (Followers: 5)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 17)
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: 1)
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: 3)
BIBECHANA     Open Access  
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: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 5)
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: 2)
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: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CAUCHY     Open Access   (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: 1)
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: 12)
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: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
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: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
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)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Acta Mathematica Scientia
  [SJR: 0.615]   [H-I: 21]   [5 followers]  Follow
    
   Full-text available via subscription Subscription journal  (Not entitled to full-text)
   ISSN (Print) 0252-9602
   Published by Elsevier Homepage  [3041 journals]
  • On the fourier-vilenkin coefficients
    • Authors: Martin G. GRIGORYAN; Stepan SARGSYAN
      Pages: 293 - 300
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Martin G. GRIGORYAN, Stepan SARGSYAN
      In this article, we prove the following statement that is true for both unbounded and bounded Vilenkin systems: for any ε ∈ (0,1), there exists a measurable set E ⊂ [0,1) of measure bigger than 1 — ε such that for any function f ∈ L1 [0,1), it is possible to find a function g ∈ L1 [0,1) coinciding with f on E and the absolute values of non zero Fourier coefficients of g with respect to the Vilenkin system are monotonically decreasing.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30002-4
       
  • Uniform quasi-differentiability of semigroup to nonlinear
           reaction-diffusion equations with supercritical exponent
    • Authors: Yansheng ZHONG; Chunyou SUN
      Pages: 301 - 315
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Yansheng ZHONG, Chunyou SUN
      A new approach is established to show that the semigroup {S(t)} t ≥0 generated by a reaction-diffusion equation with supercritical exponent is uniformly quasi-differentiable in Lq (Ω) (2 ≤ q < ∞) with respect to the initial value. As an application, this proves the upper-bound of fractal dimension for its global attractor in the corresponding space.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30003-6
       
  • On collision local time of two independent fractional ornstein-uhlenbeck
           processes
    • Authors: Jingjun GUO; Chujin LI
      Pages: 316 - 328
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Jingjun GUO, Chujin LI
      In this article, we study the existence of collision local time of two independent d-dimensional fractional Ornstein-Uhlenbeck processes X H 1 t and X˜ H 2 t , with different parameters H i ∈ (0,1),i = 1, 2. Under the canonical framework of white noise analysis, we characterize the collision local time as a Hida distribution and obtain its' chaos expansion.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30004-8
       
  • Partial stability analysis of some classes of nonlinear systems
    • Authors: Alexander ALEKSANDROV; Elena ALEKSANDROVA; Alexey ZHABKO; Yangzhou CHEN
      Pages: 329 - 341
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Alexander ALEKSANDROV, Elena ALEKSANDROVA, Alexey ZHABKO, Yangzhou CHEN
      A nonlinear differential equation system with nonlinearities of a sector type is studied. Using the Lyapunov direct method and the comparison method, conditions are derived under which the zero solution of the system is stable with respect to all variables and asymptotically stable with respect to a part of variables. Moreover, the impact of nonstationary perturbations with zero mean values on the stability of the zero solution is investigated. In addition, the corresponding time-delay system is considered for which delay-independent partial asymptotic stability conditions are found. Three examples are presented to demonstrate effectiveness of the obtained results.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30005-x
       
  • Improved gradient method for monotone and lipschitz continuous mappings in
           banach spaces
    • Authors: Kazuhide NAKAJO
      Pages: 342 - 354
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Kazuhide NAKAJO
      Let C be a nonempty closed convex subset of a 2-uniformly convex and uniformly smooth Banach space E and {A n}nɛN be a family of monotone and Lipschitz continuos mappings of C into E*. In this article, we consider the improved gradient method by the hybrid method in mathematical programming [10] for solving the variational inequality problem for {A n} and prove strong convergence theorems. And we get several results which improve the well-known results in a real 2-uniformly convex and uniformly smooth Banach space and a real Hilbert space.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30006-1
       
  • Application of holomorphic invariants in reproducing kernel
    • Authors: Lishuang PAN; An WANG
      Pages: 355 - 367
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Lishuang PAN, An WANG
      We use holomorphic invariants to calculate the Bergman kernel for generalized quasi-homogeneous Reinhardt-Hartogs domains. In addition, we present a complete orthonormal basis for the Bergman space on bounded Reinhardt-Hartogs domains.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30007-3
       
  • Synchronization of master-slave markovian switching complex dynamical
           networks with time-varying delays in nonlinear function via sliding mode
           control
    • Authors: M. Syed ALI; J. YOGAMBIGAI; Jinde CAO
      Pages: 368 - 384
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): M. Syed ALI, J. YOGAMBIGAI, Jinde CAO
      In this article, a synchronization problem for master-slave Markovian switching complex dynamical networks with time-varying delays in nonlinear function via sliding mode control is investigated. On the basis of the appropriate Lyapunov-Krasovskii functional, introducing some free weighting matrices, new synchronization criteria are derived in terms of linear matrix inequalities (LMIs). Then, an integral sliding surface is designed to guarantee synchronization of master-slave Markovian switching complex dynamical networks, and the suitable controller is synthesized to ensure that the trajectory of the closed-loop error system can be driven onto the prescribed sliding mode surface. By using Dynkin's formula, we established the stochastic stablity of master-slave system. Finally, numerical example is provided to demonstrate the effectiveness of the obtained theoretical results.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30008-5
       
  • Almost conservation laws and global rough solutions of the defocusing
           nonlinear wave equation on ℝ2
    • Authors: Zaiyun ZHANG; Jianhua HUANG; Mingbao SUN
      Pages: 385 - 394
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Zaiyun ZHANG, Jianhua HUANG, Mingbao SUN
      In this article, we investigate the initial value problem(IVP) associated with the defocusing nonlinear wave equation on ℝ2 as follows: { ∂ t t u - Δ u = - u 3 , u ( 0 ,   x ) = u 0 ( x ) ,   ∂ t u ( 0 ,   x ) = u 1 ( x ) , where the initial data (u 0, u 1) ɛ H s(ℝ2) × Hs−1 (ℝ2). It is shown that the IVP is global well-posedness in Hs(ℝ2) × Hs−1(ℝ2) for any 1 > s > 2/5. The proof relies upon the almost conserved quantity in using multilinear correction term. The main difficulty is to control the growth of the variation of the almost conserved quantity. Finally, we utilize linear-nonlinear decomposition benefited from the ideas of Roy [1].

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30009-7
       
  • Bound states of schrödinger equations with electromagnetic fields and
           vanishing potentials
    • Authors: Na BA; Jinjun DAI
      Pages: 405 - 424
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Na BA, Jinjun DAI
      We study the bound states to nonlinear Schrödinger equations with electro-magnetic fields i h ∂ ψ ∂ t = ( h i ∇ - A ( x ) ) 2 ψ + V ( x ) ψ - K ( x ) p - 1 ψ = 0 ,   on ℝ + × ℝ N . Let G ( x ) = [ V ( x ) ] p + 1 p - 1 - N 2 [ K ( x ) ] - 2 p - 1 and suppose that G(x) has k local minimum points. For h > 0 small, we find multi-bump bound states ψh(x,t) = e −lEt/h Uh(χ) with Uh concentrating at the local minimum points of G(x) simultaneously as h → 0. The potentials V(x) and K(x) are allowed to be either compactly supported or unbounded at infinity.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30011-5
       
  • The compact composition operator on the μ-bergman space in the unit
           ball
    • Authors: Shenlian LI; Xuejun ZHANG; Si XU
      Pages: 425 - 438
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Shenlian LI, Xuejun ZHANG, Si XU
      Let p > 0 and μ be a normal function on [0,1), v ( r ) = ( 1 - r 2 ) 1 + n p μ ( r ) for r ∈ [0,1). In this article, the bounded or compact weighted composition operator Tϕ,ψ from the μ-Bergman space A p (μ) to the normal weight Bloch type space βν in the unit ball is characterized. The briefly sufficient and necessary condition that the composition operator is compact from A p(μ) to βν is given. At the same time, the authors give the briefly sufficient and necessary condition that is compact on βμ for a > 1.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30012-7
       
  • The largest eigenvalue distribution of the laguerre unitary ensemble
    • Authors: Shulin LYU; Yang CHEN
      Pages: 439 - 462
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Shulin LYU, Yang CHEN
      We study the probability that all eigenvalues of the Laguerre unitary ensemble of n by n matrices are in (0, t), that is, the largest eigenvalue distribution. Associated with this probability, in the ladder operator approach for orthogonal polynomials, there are recurrence coefficients, namely, an (t) and αn (t) and βn , as well as three auxiliary quantities, denoted by rn (t), Rn (t), and ση (t). We establish the second order differential equations for both β n (t) and r n (t). By investigating the soft edge scaling limit when α = O(n) as n → ∞ or a is finite, we derive a Pu, the σ-form, and the asymptotic solution of the probability. In addition, we develop differential equations for orthogonal polynomials Pn(z) corresponding to the largest eigenvalue distribution of LUE and GUE with n finite or large. For large n, asymptotic formulas are given near the singular points of the ODE. Moreover, we are able to deduce a particular case of Chazy's equation for satisfying the σ-form of P IV or P V .

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30013-9
       
  • Some properties of double designs in terms of lee discrepancy
    • Authors: Na ZOU; Hong QIN
      Pages: 477 - 487
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Na ZOU, Hong QIN
      Doubling is a simple but powerful method of constructing two-level fractional factorial designs with high resolution. This article studies uniformity in terms of Lee discrepancy of double designs. We give some linkages between the uniformity of double design and the aberration case of the original one under different criteria. Furthermore, some analytic linkages between the generalized wordlength pattern of double design and that of the original one are firstly provided here, which extend the existing findings. The lower bound of Lee discrepancy for double designs is also given.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30015-2
       
  • Convergence analysis of a monotone projection algorithm in reflexive
           banach spaces
    • Authors: Xiaolong QIN; Sun Young CHO
      Pages: 488 - 502
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Xiaolong QIN, Sun Young CHO
      In this article, fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings and equilibrium problems are investigated based on a monotone projection algorithm. Strong convergence theorems are established without the aid of compactness in the framework of reflexive Banach spaces.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30016-4
       
  • Hypercyclicity, supercyclicity and generalized rakočević's
           property
    • Authors: Mohamed AMOUCH; Youness FAOUZI
      Pages: 503 - 510
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Mohamed AMOUCH, Youness FAOUZI
      A Banach space operator satisfies generalized Rakocevic's property (gw) if the complement of its upper semi B-Weyl spectrum in its approximate point spectrum is the set of eigenvalues of T which are isolated in the spectrum of T. In this note, we characterize hypecyclic and supercyclic operators satisfying the property (gw).

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30017-6
       
  • Nonlinear analysis on the vibration of elastic plates
    • Authors: Min DING; Shengbo GONG
      Pages: 511 - 526
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Min DING, Shengbo GONG
      We consider the vibration of elastic thin plates under certain reasonable assumptions. We derive the nonlinear equations for this model by the Hamilton Principle. Under the conditions on the hyperbolicity for the initial data, we establish the local time well-posedness for the initial and boundary value problem by Picard iteration scheme, and obtain the estimates for the solutions.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30018-8
       
  • Local estimate about schrödinger maximal operator on H-type groups
    • Authors: Heping LIU; Hongbo ZENG
      Pages: 527 - 538
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Heping LIU, Hongbo ZENG
      Let Δ be full Laplacian on H-type group G . Then for every compact set D ⊆ G , a local estimate of the Schrodinger maximal operator holds, that is, ∫ D sup 0 < t < 1 e i t Δ f ( x ) 2 d x ∼ < ‖ f ‖ H s 2 ,   s > 1 2 . We also show that the above inequality fails when s < 1/4.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30019-x
       
  • A variational problem arising in registration of diffusion tensor images
    • Authors: Huan HAN; Huan-Song ZHOU
      Pages: 539 - 554
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Huan HAN, Huan-Song ZHOU
      The existence of a global minimizer for a variational problem arising in registration of diffusion tensor images is proved, which ensures that there is a regular spatial transformation for the registration of diffusion tensor images.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30020-6
       
  • Multiple solutions for nonhomogeneous schrödinger-poisson equations with
           sign-changing potential
    • Authors: Lixia WANG; Shiwang MA; Na XU
      Pages: 555 - 572
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Lixia WANG, Shiwang MA, Na XU
      In this article, we study the following nonhomogeneous Schrodinger-Poisson equations { - Δ u + λ V ( x ) u + K ( x ) ϕ u = f ( x , u ) + g ( x ) , x ∈ R 3 , - Δ ϕ = K ( x ) u 2 , x ∈ R 3 , where λ > 0 is a parameter. Under some suitable assumptions on V, K, f and g, the existence of multiple solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. In particular, the potential V is allowed to be sign-changing.

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30021-8
       
  • Global regularity to the 2D incompressible MHD with mixed partial
           dissipation and magnetic diffusion in a bounded domain
    • Authors: Haibo
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Haibo YU
      This article considers the global regularity to the initial-boundary value problem for the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion. To overcome the difficulty caused by the vanishing viscosities, we first establish the elliptic system for U x and b y, which are estimated by ∇ × ux and ∇ × by , respectively. Then, we establish the global estimates for ∇ × u and ∇ × b.

      PubDate: 2017-03-05T16:27:55Z
       
  • Existence results for globally efficient solutions of vector equilibrium
           problems via a generalized kkm principle
    • Authors: Adela
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Adela CAPĂTĂ
      The aim of this article is to present new existence results for globally efficient solutions of a strong vector equilibrium problem given by a sum of two functions via a generalized KKM principle, and to establish the connectedness of the solutions set.

      PubDate: 2017-03-05T16:27:55Z
       
  • A two-dimensional glimm type scheme on cauchy problem of two-dimensional
           scalar conservation law
    • Authors: Hui KAN; Xiaozhou YANG
      Pages: 1 - 25
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Hui KAN, Xiaozhou YANG
      In this paper, we construct a new two-dimensional convergent scheme to solve Cauchy problem of following two-dimensional scalar conservation law { ∂ t u + ∂ x f ( u ) + ∂ y g ( u ) = 0 , u ( x , y , 0 ) = u 0 ( x , y ) . In which initial data can be unbounded. Although the existence and uniqueness of the weak entropy solution are obtained, little is known about how to investigate two-dimensional or higher dimensional conservation law by the schemes based on wave interaction of 2D Riemann solutions and their estimation. So we construct such scheme in our paper and get some new results.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30111-4
       
  • Differential variational inequalities in infinite banach spaces
    • Authors: Zhenhai LIU; Shengda ZENG
      Pages: 26 - 32
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Zhenhai LIU, Shengda ZENG
      In this paper, we consider a new differential variational inequality (DVI, for short) which is composed of an evolution equation and a variational inequality in infinite Banach spaces. This kind of problems may be regarded as a special feedback control problem. Based on the Browder's theorem and the optimal control theory, we show the existence of solutions to the mentioned problem.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30112-6
       
  • Periodicity of the univoque β-expansions
    • Authors: Yuehua GE; Bo TAN
      Pages: 33 - 46
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Yuehua GE, Bo TAN
      Let m ≥ 1 be an integer, 1 < β ≤ m + 1. A sequence ɛ1 ɛ2 ɛ3 with ɛi ∈ {0,1, … m} is called a β-expansion of a real number x if x = ∑ i ∈ i β i . It is known that when the base β is smaller than the generalized golden ration, any number has uncountably many expansions, while when β is larger, there are numbers which has unique expansion. In this paper, we consider the bases such that there is some number whose unique expansion is purely periodic with the given smallest period. We prove that such bases form an open interval, moreover, any two such open intervals have inclusion relationship according to the Sharkovskii ordering between the given minimal periods. We remark that our result answers an open question posed by Baker, and the proof for the case m = 1 is due to Allouche, Clarke and Sidorov.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30113-8
       
  • A necessary and a sufficient condition for the existence of the positive
           radial solutions to Hessian equations and systems with weights
    • Authors: Dragos-Patru COVEI
      Pages: 47 - 57
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Dragos-Patru COVEI
      In this article, we consider the existence of positive radial solutions for Hessian equations and systems with weights and we give a necessary condition as well as a sufficient condition for a positive radial solution to be large. The method of proving theorems is essentially based on a successive approximation technique. Our results complete and improve a work published recently by Zhang and Zhou (existence of entire positive k-convex radial solutions to Hessian equations and systems with weights. Applied Mathematics Letters, Volume 50, December 2015, Pages 48–55).

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30114-x
       
  • Gradient estimates for solutions to quasilinear elliptic equations with
           critical sobolev growth and hardy potential
    • Authors: Changlin Xiang
      First page: 58
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Changlin Xiang
      This note is a continuation of the work [17]. We study the following quasilinear elliptic equations - Δ p u - μ x p u p - 2 u = Q ( x ) u N p N - p - 2 u ,     x ∈ ℝ N , where 1 < p < N,0 ≤ μ < ((N-p)/p)p and Q ɛ L∞ ℝ N . Optimal asymptotic estimates on the gradient of solutions are obtained both at the origin and at the infinity.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30115-1
       
  • Some properties for certain classes of univalent functions defined by
           differential inequalities
    • Authors: Zhigang PENG; Gangzhen ZHONG
      Pages: 69 - 78
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Zhigang PENG, Gangzhen ZHONG
      Let A be the space of functions analytic in the unit disk D={z: z < 1}. Let U denote the set of all functions f ɛ A satisfying the conditions f(0)=f′(0)−1=0 and f ′ ( z ) ( z f ( z ) ) 2 - 1   < 1 ( z < 1 ) . Also, let Ω denote the set of all functions f ɛ A satisfying the conditions f(0) = f′(0)-1 = 0 and z f ′ ( z ) - f ( z )   < 1 2 ( z < 1 ) . In this article, we discuss the properties of U and Ω.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30116-3
       
  • The pointwise estimates of solutions for a nonlinear convection diffusion
           reaction equation
    • Authors: Guowei LIU
      Pages: 79 - 96
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Guowei LIU
      This paper studies the time asymptotic behavior of solutions for a nonlinear convection diffusion reaction equation in one dimension. First, the pointwise estimates of solutions are obtained, furthermore, we obtain the optimal Lp , 1 ≤ p ≤ + ∞, convergence rate of solutions for small initial data. Then we establish the local existence of solutions, the blow up criterion and the sufficient condition to ensure the nonnegativity of solutions for large initial data. Our approach is based on the detailed analysis of the Green function of the linearized equation and some energy estimates.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30117-5
       
  • Limiting directions of julia sets of entire solutions to complex
           differential equations
    • Authors: Jun WANG; Zongxuan CHEN
      Pages: 97 - 107
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Jun WANG, Zongxuan CHEN
      In this paper, we mainly investigate the dynamical properties of entire solutions of complex differential equations. With some conditions on coefficients, we prove that the set of common limiting directions of Julia sets of solutions, their derivatives and their primitives must have a definite range of measure.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30118-7
       
  • Controllability of neutral stochastic evolution equations driven by
           fractional brownian motion
    • Authors: Jing CUI; Litan YAN
      Pages: 108 - 118
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Jing CUI, Litan YAN
      In this paper, we investigate the controllability for neutral stochastic evolution equations driven by fractional Brownian motion with Hurst parameter H ɛ (½, 1) in a Hilbert space. We employ the α-norm in order to reflect the relationship between H and the fractional power α. Sufficient conditions are established by using stochastic analysis theory and operator theory. An example is provided to illustrate the effectiveness of the proposed result.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30119-9
       
  • Non-existence for fractionally damped fractional differential problems
    • Authors: Mohammed D. KASSIM; Khaled M. FURATI; Nasser-eddine TATAR
      Pages: 119 - 130
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Mohammed D. KASSIM, Khaled M. FURATI, Nasser-eddine TATAR
      In this paper, we are concerned with a fractional differential inequality containing a lower order fractional derivative and a polynomial source term in the right hand side. A non-existence of non-trivial global solutions result is proved in an appropriate space by means of the test-function method. The range of blow up is found to depend only on the lower order derivative. This is in line with the well-known fact for an internally weakly damped wave equation that solutions will converge to solutions of the parabolic part.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30120-5
       
  • The lower order and linear order of multiple dirichlet series
    • Authors: Meili LIANG; Yingying HUO
      Pages: 131 - 138
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Meili LIANG, Yingying HUO
      The article investigates the growth of multiple Dirichlet series. The lower order and the linear order of n-tuple Dirichlet series in ℂ n are defined and some relations between them and the coefficients and exponents of n-tuple Dirichlet series are obtained.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30121-7
       
  • Scalar curvature type problem on the three dimensional bounded domain
    • Authors: Mohamed BEN AYED; Habib FOURTI
      Pages: 139 - 173
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Mohamed BEN AYED, Habib FOURTI
      In this paper we prove an existence result for the nonlinear elliptic problem: Δu = K u 5, u > 0 in Ω, u = 0 on ∂Ω, where Ω is a smooth bounded domain of ℝ3 and K is a positive function in Ω¯. Our method relies on studying its corresponding subcritical approximation problem and then using a topological argument.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30122-9
       
  • Asymptotic behavior of solutions to the compressible nematic liquid
           crystal system in ℝ3
    • Authors: Yin LI; Ruiying WEI; Zhengan YAO
      Pages: 174 - 186
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Yin LI, Ruiying WEI, Zhengan YAO
      In this paper, we study a nematic liquid crystals system in three-dimensional whole space ℝ3 and obtain the time decay rates of the higher-order spatial derivatives of the solution by the method of spectral analysis and energy estimates if the initial data belongs to L 1ℝ3 additionally.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30123-0
       
  • On entire solutions of two types of systems of complex
           differential-difference equations
    • Authors: Lingyun GAO
      Pages: 187 - 194
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Lingyun GAO
      In this paper, we will mainly investigate entire solutions with finite order of two types of systems of differential-difference equations, and obtain some interesting results. It extends some results concerning complex differential (difference) equations to the systems of differential-difference equations.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30124-2
       
  • Solvability of an implicit fractional integral equation via a measure of
           noncompactness argument
    • Authors: Juan J. NIETO; Bessem SAMET
      Pages: 195 - 204
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Juan J. NIETO, Bessem SAMET
      In this paper, we study the existence of solutions to an implicit functional equation involving a fractional integral with respect to a certain function, which generalizes the Riemann-Liouville fractional integral and the Hadamard fractional integral. We establish an existence result to such kind of equations using a generalized version of Darbo's theorem associated to a certain measure of noncompactness. Some examples are presented.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30125-4
       
  • Wavelet-based estimator for the hurst parameters of fractional brownian
           sheet
    • Authors: Liang WU; Yiming DING
      Pages: 205 - 222
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Liang WU, Yiming DING
      It is proposed a class of statistical estimators Ĥ = (Ĥ 1, … Ĥ) for the Hurst parameters H =(H 1, …, Hd ) of fractional Brownian field via multi-dimensional wavelet analysis and least squares, which are asymptotically normal. These estimators can be used to detect self-similarity and long-range dependence in multi-dimensional signals, which is important in texture classification and improvement of diffusion tensor imaging (DTI) of nuclear magnetic resonance (NMR). Some fractional Brownian sheets will be simulated and the simulated data are used to validate these estimators. We find that when Hi ≥ ½, the estimators are accurate, and when Hi < ½, there are some bias.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30126-6
       
  • Maximin efficiency robust test for multiple nuisance parameters and its
           statistical properties
    • Authors: Qing YANG; Jiayan ZHU; Zhengbang LI
      Pages: 223 - 234
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Qing YANG, Jiayan ZHU, Zhengbang LI
      We propose the maximin efficiency robust test (MERT) for multiple nuisance parameters based on theories about the maximin efficiency robust test for only one nuisance parameter and investigate some theoretical properties about this robust test. We explore some theoretical properties about the power of the MERT for multiple nuisance parameters in a specified scenario intuitively further more. We also propose a meaningful example from statistical genetic field to which the MERT for multiple nuisance parameters can be well applied. Extensive simulation studies are conducted to testify the robustness of the MERT for multiple nuisance parameters.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30127-8
       
  • Exact controllability and continuous dependence of fractional neutral
           integro-differential equations with state-dependent delay
    • Authors: Heping MA; Biu LIU
      Pages: 235 - 258
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Heping MA, Biu LIU
      In the present paper, with the help of the resolvent operator and some analytic methods, the exact controllability and continuous dependence are investigated for a fractional neutral integro-differential equations with state-dependent delay. As an application, we also give one example to demonstrate our results.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30128-x
       
  • Numerical method of mixed finite volume-modified upwind fractional step
           difference for three-dimensional semiconductor device transient behavior
           problems
    • Authors: Yirang YUAN; Qing YANG; Changfeng LI; Tongjun SUN
      Pages: 259 - 279
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Yirang YUAN, Qing YANG, Changfeng LI, Tongjun SUN
      Transient behavior of three-dimensional semiconductor device with heat conduction is described by a coupled mathematical system of four quasi-linear partial differential equations with initial-boundary value conditions. The electric potential is defined by an elliptic equation and it appears in the following three equations via the electric field intensity. The electron concentration and the hole concentration are determined by convection-dominated diffusion equations and the temperature is interpreted by a heat conduction equation. A mixed finite volume element approximation, keeping physical conservation law, is used to get numerical values of the electric potential and the accuracy is improved one order. Two concentrations and the heat conduction are computed by a fractional step method combined with second-order upwind differences. This method can overcome numerical oscillation, dispersion and decreases computational complexity. Then a three-dimensional problem is solved by computing three successive one-dimensional problems where the method of speedup is used and the computational work is greatly shortened. An optimal second-order error estimate in L 2 norm is derived by using prior estimate theory and other special techniques of partial differential equations. This type of mass-conservative parallel method is important and is most valuable in numerical analysis and application of semiconductor device.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30129-1
       
  • Potential operators and laplace type multipliers associated with the
           twisted laplacian
    • Authors: Adam NOWAK; Krzysztof STEMPAK
      Pages: 280 - 292
      Abstract: Publication date: January 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 1
      Author(s): Adam NOWAK, Krzysztof STEMPAK
      We study potential operators and, more generally, Laplace-Stieltjes and Laplace type multipliers associated with the twisted Laplacian. We characterize those 1 ≤ p,q ≤ ∞, for which the potential operators are Lp – Lq bounded. This result is a sharp analogue of the classical Hardy-Littlewood-Sobolev fractional integration theorem in the context of special Hermite expansions. We also investigate Lp mapping properties of the Laplace-Stieltjes and Laplace type multipliers.

      PubDate: 2016-12-17T11:08:16Z
      DOI: 10.1016/s0252-9602(16)30130-8
       
  • Global solution to 1D model of a compressible viscous micropolar
           heat-conducting fluid with a free boundary
    • Authors: Nermina MUJAKOVIĆ; Nelida ČRNJARIĆ-ŽIC
      Pages: 1541 - 1576
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Nermina MUJAKOVIĆ, Nelida ČRNJARIĆ-ŽIC
      In this paper we consider the nonstationary 1D flow of the compressible viscous and heat-conducting micropolar fluid, assuming that it is in the thermodynamically sense perfect and polytropic. The fluid is between a static solid wall and a free boundary connected to a vacuum state. We take the homogeneous boundary conditions for velocity, microrotation and heat flux on the solid border and that the normal stress, heat flux and microrotation are equal to zero on the free boundary. The proof of the global existence of the solution is based on a limit procedure. We define the finite difference approximate equations system and construct the sequence of approximate solutions that converges to the solution of our problem globally in time.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30090-x
       
  • Monotonicity in orlicz-lorentz sequence spaces equipped with the orlicz
           norm
    • Authors: Wanzhong GONG; Daoxiang ZHANG
      Pages: 1577 - 1589
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Wanzhong GONG, Daoxiang ZHANG
      In Orlicz-Lorentz sequence space λ°ϕ, w with the Orlicz norm, uniform monotonic ity, points of upper local uniform monotonicity and lower local uniform monotonicity are characterized. Moreover, the monotonicity coefficient in λ°ϕ, w are discussed.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30091-1
       
  • Large time behavior of a third grade fluid system
    • Authors: Xiaojuan CHAI; Zhengzheng CHEN; Weisheng NIU
      Pages: 1590 - 1608
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Xiaojuan CHAI, Zhengzheng CHEN, Weisheng NIU
      We consider the large time behavior of a non-autonomous third grade fluid system, which could be viewed as a perturbation of the classical Navier-Stokes system. Under proper assumptions, we firstly prove that the family of processes generated by the problem admits a uniform attractor in the natural phase space. Then we prove the upper-semicontinuity of the uniform attractor when the perturbation tends to zero.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30092-3
       
  • Rigidity of compact surfaces in homogeneous 3-manifolds with constant mean
           curvature
    • Authors: Jing WANG; Yinshan ZHANG
      Pages: 1609 - 1618
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Jing WANG, Yinshan ZHANG
      In this paper, we establish a rigidity theorem for compact constant mean curvature surfaces of the Berger sphere in terms of the surfaces' geometric invariants. This extends the previous similar result on compact minimal surfaces of the Berger sphere.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30093-5
       
  • A projection-type algorithm for solving generalized mixed variational
           inequalities
    • Authors: Kai TU; Fuquan XIA
      Pages: 1619 - 1630
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Kai TU, Fuquan XIA
      We propose a projection-type algorithm for generalized mixed variational inequality problem in Euclidean space ℝn. We establish the convergence theorem for the proposed algorithm, provided the multi-valued mapping is continuous and f-pseudomonotone with nonempty compact convex values on dom(f), where f: ℝn → ℝU{+∞} is a proper function. The algorithm presented in this paper generalize and improve some known algorithms in literatures. Preliminary computational experience is also reported.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30094-7
       
  • A nonlocal hybrid boundary value problem of caputo fractional
           integro-differential equations
    • Authors: Bashir AHMAD; Sotiris K. NTOUYAS; Jessada TARIBOON
      Pages: 1631 - 1640
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Bashir AHMAD, Sotiris K. NTOUYAS, Jessada TARIBOON
      In this paper, we discuss the existence of solutions for a nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations. Our main result is based on a hybrid fixed point theorem for a sum of three operators due to Dhage, and is well illustrated with the aid of an example.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30095-9
       
  • Strongly convergent iterative methods for split equality variational
           inclusion problems in banach spaces
    • Authors: Shih-sen CHANG; Lin WANG; Lijuan QIN; Zhaoli MA
      Pages: 1641 - 1650
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Shih-sen CHANG, Lin WANG, Lijuan QIN, Zhaoli MA
      The purpose of this paper is to introduce and study the split equality variational inclusion problems in the setting of Banach spaces. For solving this kind of problems, some new iterative algorithms are proposed. Under suitable conditions, some strong convergence theorems for the sequences generated by the proposed algorithm are proved. As applications, we shall utilize the results presented in the paper to study the split equality feasibility problems in Banach spaces and the split equality equilibrium problem in Banach spaces. The results presented in the paper are new.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30096-0
       
  • Existence of weak solutions for some singular parabolic equation
    • Authors: Li XIA; Jingna LI; Qiang LIU
      Pages: 1651 - 1661
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Li XIA, Jingna LI, Qiang LIU
      In this paper, we are concerned with a singular parabolic equation subject to Dirichlet boundary condition and initial condition. Under different assumptions on μ, ν and ψ, some existence results are obtained by applying parabolic regularization method and the sub-super solutions method.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30097-2
       
  • Weighted pseudo almost-periodic solutions of shunting inhibitory cellular
           neural networks with mixed delays
    • Authors: Mohammed Salah M'HAMDI; Chaouki AOUITI; Abderrahmane TOUATI; Adel M. ALIMI; Vaclav SNASEL
      Pages: 1662 - 1682
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Mohammed Salah M'HAMDI, Chaouki AOUITI, Abderrahmane TOUATI, Adel M. ALIMI, Vaclav SNASEL
      In this paper, we prove the existence and the global exponential stability of the unique weighted pseudo almost-periodic solution of shunting inhibitory cellular neural networks with mixed time-varying delays comprising different discrete and distributed time delays. Some sufficient conditions are given for the existence and the global exponential stability of the weighted pseudo almost-periodic solution by employing fixed point theorem and differential inequality techniques. The results of this paper complement the previously known ones. Finally, an illustrative example is given to demonstrate the effectiveness of our results.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30098-4
       
  • On generalized feynman-kac transformation for markov processes associated
           with semi-dirichlet forms
    • Authors: Xinfang HAN; Li MA
      Pages: 1683 - 1698
      Abstract: Publication date: November 2016
      Source:Acta Mathematica Scientia, Volume 36, Issue 6
      Author(s): Xinfang HAN, Li MA
      Suppose that X is a right process which is associated with a semi-Dirichlet form (ɛ, D(ɛ)) on L 2 (E; m). Let J be the jumping measure of (ɛ, D(ɛ)) satisfying J(E × E − d) < ro. Let u G D(ɛ) b : = D(ɛ) ∩ L ∞ (E; m), we have the following Fukushima's decomposition ũ (X t ) − ũ (X o) = Mu t + Nu t . Define Pu t f (x) = Ex[eNu t f (Xt )]. Let Q u (f, g) = ɛ (f, g) + ɛ (u, fg) for f, g ∈ D(ɛ)b. In the first part, under some assumptions we show that (Qu , D(ɛ) b ) is lower semi-bounded if and only if there exists a constant α o ≥ 0 such that P t u 2 ≤ eα ot for every t > 0. If one of these assertions holds, then (P t u ) t≥ o is strongly continuous on L 2(E; m). If X is equipped with a differential structure, then under some other assumptions, these conclusions remain valid without assuming J(E × E − d) < ∞. Some examples are also given in this part. Let At be a local continuous additive functional with zero quadratic variation. In the second part, we get the representation of A t and give two sufficient conditions for P t A f (x) = Ex [eA t f (Xt)] to be strongly continuous.

      PubDate: 2016-09-23T04:18:22Z
      DOI: 10.1016/s0252-9602(16)30099-6
       
 
 
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