for Journals by Title or ISSN
for Articles by Keywords
help
  Subjects -> MATHEMATICS (Total: 955 journals)
    - APPLIED MATHEMATICS (82 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (706 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (22 journals)
    - PROBABILITIES AND MATH STATISTICS (82 journals)

MATHEMATICS (706 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: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 27)
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: 9)
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: 6)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 3)
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: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 5)
Advances in Science and Research (ASR)     Open Access   (Followers: 4)
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: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 5)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
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: 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: 12)
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)
ANZIAM Journal     Open Access   (Followers: 1)
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: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 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: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : 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: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 11)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 10)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 29)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Differential Equations     Open Access  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 4)

        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
   ISSN (Print) 0252-9602
   Published by Elsevier Homepage  [3175 journals]
  • On a fixed point theorem in 2-Banach spaces and some of its applications
    • Authors: Janusz BRZDEK; Krzysztof CIEPLIŃSKI
      Pages: 377 - 390
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Janusz BRZDEK, Krzysztof CIEPLIŃSKI
      The aim of this article is to prove a fixed point theorem in 2-Banach spaces and show its applications to the Ulam stability of functional equations. The obtained stability results concern both some single variable equations and the most important functional equation in several variables, namely, the Cauchy equation. Moreover, a few corollaries corresponding to some known hyperstability outcomes are presented.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30755-0
       
  • Multiplicity and concentration behaviour of positive solutions for
           Schrödinger-Kirchhoff type equations involving the p-Laplacian in RN
    • Authors: Huifang JIA; Gongbao LI
      Pages: 391 - 418
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Huifang JIA, Gongbao LI
      In this article, we study the multiplicity and concentration behavior of positive solutions for the p-Laplacian equation of Schrödinger-Kirchhoff type - ∈ p   M ( ∈ p - N ∫ R N ∇ u p ) Δ p u + V ( x ) u p - 2 u = f ( u ) in R N , where Δp is the p-Laplacian operator, 1 < p < N, M: R + → R + and V: R N → R + are continuous functions, ε is a positive parameter, and f is a continuous function with subcritical growth. We assume that V satisfies the local condition introduced by M. del Pino and P. Felmer. By the variational methods, penalization techniques, and Lyusternik-Schnirelmann theory, we prove the existence, multiplicity, and concentration of solutions for the above equation.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30756-2
       
  • Multiplicity of solutions of weighted (p,q)-Laplacian with small source
    • Authors: Huijuan SONG; Jingxue YIN; Zejia WANG
      Pages: 419 - 428
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Huijuan SONG, Jingxue YIN, Zejia WANG
      In this article, we study the existence of infinitely many solutions to the degenerate quasilinear elliptic system - div ( h 1 ( x ) ∇ u p - 2 ∇ u ) = d ( x ) u r - 2 u + G u ( x , u , υ ) - div ( h 2 ( x ) ∇ υ q - 2 ∇ υ ) = f ( x ) υ s - 2 υ + G υ ( x , u , υ ) u = υ = 0 in   Ω in   Ω on   ∂ Ω where Ω is a bounded domain in R N with smooth boundary ∂Ω, N≥2, 1 < r < p < ∞, 1 < s < q < ∞; h1(x) and h2(x) are allowed to have “essential” zeroes at some points in Ω ;   d ( x ) u r - 2 u and   f ( x ) υ s - 2 υ are small sources with Gu(x,u,v), Gv(x,u,v) being their high-order perturbations with respect to (u,v) near the origin, respectively.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30757-4
       
  • Qualitative analysis of a stochastic ratio-dependent Holling-Tanner system
    • Authors: Jing FU; Daqing JIANG; Ningzhong SHI; Tasawar HAYAT; Ahmed ALSAEDI
      Pages: 429 - 440
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Jing FU, Daqing JIANG, Ningzhong SHI, Tasawar HAYAT, Ahmed ALSAEDI
      This article addresses a stochastic ratio-dependent predator-prey system with Leslie-Gower and Holling type II schemes. Firstly, the existence of the global positive solution is shown by the comparison theorem of stochastic differential equations. Secondly, in the case of persistence, we prove that there exists a ergodic stationary distribution. Finally, numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30758-6
       
  • Sharp bounds for Hardy operators on product spaces
    • Authors: Mingquan WEI; Dunyan YAN
      Pages: 441 - 449
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Mingquan WEI, Dunyan YAN
      In this article, we obtain the sharp bounds from L P ( G n ) to the space wL P ( G n ) for Hardy operators on product spaces. More generally, the precise norms of Hardy operators on product spaces from L P ( G n ) to the space L PI ( G n ) are obtained.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30759-8
       
  • Continuous finite element methods for Reissner-Mindlin plate problem
    • Authors: Huoyuan DUAN; Junhua MA
      Pages: 450 - 470
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Huoyuan DUAN, Junhua MA
      On triangle or quadrilateral meshes, two finite element methods are proposed for solving the Reissner-Mindlin plate problem either by augmenting the Galerkin formulation or modifying the plate-thickness. In these methods, the transverse displacement is approximated by conforming (bi)linear macroelements or (bi)quadratic elements, and the rotation by conforming (bi)linear elements. The shear stress can be locally computed from transverse displacement and rotation. Uniform in plate thickness, optimal error bounds are obtained for the transverse displacement, rotation, and shear stress in their natural norms. Numerical results are presented to illustrate the theoretical results.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30760-4
       
  • A note on Malmquist-Yosida type theorem of higher order algebraic
           differential equations
    • Authors: Jianjun ZHANG; Liangwen LIAO
      Pages: 471 - 478
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Jianjun ZHANG, Liangwen LIAO
      In this article, we give a simple proof of Malmquist-Yosida type theorem of higher order algebraic differential equations, which is different from the methods as that of Gackstatter and Laine [2], and Steinmetz [12].

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30761-6
       
  • A new adaptive trust region algorithm for optimization problems
    • Authors: Zhou SHENG; Gonglin YUAN; Zengru CUI
      Pages: 479 - 496
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Zhou SHENG, Gonglin YUAN, Zengru CUI
      It is well known that trust region methods are very effective for optimization problems. In this article, a new adaptive trust region method is presented for solving unconstrained optimization problems. The proposed method combines a modified secant equation with the BFGS updated formula and an adaptive trust region radius, where the new trust region radius makes use of not only the function information but also the gradient information. Under suitable conditions, global convergence is proved, and we demonstrate the local superlinear convergence of the proposed method. The numerical results indicate that the proposed method is very efficient.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30762-8
       
  • Multiplicity of positive solutions for a class of concave-convex elliptic
           equations with critical growth
    • Authors: Jiafeng LIAO; Yang PU; Chunlei TANG
      Pages: 497 - 518
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Jiafeng LIAO, Yang PU, Chunlei TANG
      In this article, the following concave and convex nonlinearities elliptic equations involving critical growth is considered, { - Δ u = g ( x ) u 2 * - 2 u + λ f ( x ) u q - 2 u , x ∈ Ω u = 0 , x ∈ ∂ Ω , where Ω ⊂ R N (N ≥ 3) is an open bounded domain with smooth boundary, 1 < q < 2,λ > 0. 2 * = 2 N N - 2 is the critical Sobolev exponent, f ∈ L 2 * 2 * - q ( Ω ) is nonzero and nonnegative, and g ∈ C ( Ω ¯ ) is a positive function with k local maximum points. By the Nehari method and variational method, k + 1 positive solutions are obtained. Our results complement and optimize the previous work by Lin [MR2870946, Nonlinear Anal. 75(2012) 2660-2671].

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30763-x
       
  • Convergence analysis of mixed volume element-characteristic mixed volume
           element for three-dimensional chemical oil-recovery seepage coupled
           problem
    • Authors: Yirang YUAN; Aijie CHENG; Dangping YANG; Changfeng LI; Qing YANG
      Pages: 519 - 545
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Yirang YUAN, Aijie CHENG, Dangping YANG, Changfeng LI, Qing YANG
      The physical model is described by a seepage coupled system for simulating numerically three-dimensional chemical oil recovery, whose mathematical description includes three equations to interpret main concepts. The pressure equation is a nonlinear parabolic equation, the concentration is defined by a convection-diffusion equation and the saturations of different components are stated by nonlinear convection-diffusion equations. The transport pressure appears in the concentration equation and saturation equations in the form of Darcy velocity, and controls their processes. The flow equation is solved by the conservative mixed volume element and the accuracy is improved one order for approximating Darcy velocity. The method of characteristic mixed volume element is applied to solve the concentration, where the diffusion is discretized by a mixed volume element method and the convection is treated by the method of characteristics. The characteristics can confirm strong computational stability at sharp fronts and it can avoid numerical dispersion and nonphysical oscillation. The scheme can adopt a large step while its numerical results have small time-truncation error and high order of accuracy. The mixed volume element method has the law of conservation on every element for the diffusion and it can obtain numerical solutions of the concentration and adjoint vectors. It is most important in numerical simulation to ensure the physical conservative nature. The saturation different components are obtained by the method of characteristic fractional step difference. The computational work is shortened greatly by decomposing a three-dimensional problem into three successive one-dimensional problems and it is completed easily by using the algorithm of speedup. Using the theory and technique of a priori estimates of differential equations, we derive an optimal second order estimates in l 2 norm. Numerical examples are given to show the effectiveness and practicability and the method is testified as a powerful tool to solve the important problems.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30764-1
       
  • Two dimensional Mellin transform in Quantum Calculus
    • Authors: Kamel BRAHIM; Latifa RIAHI
      Pages: 546 - 560
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Kamel BRAHIM, Latifa RIAHI
      In this article, we introduce the two dimensional Mellin transform M q ˜ ( f ) ( s , t ) , give some properties, establish the Paley-Wiener theorem and Plancherel formula, present the Hausdorff-Young inequality, and find several applications for the two dimensional Mellin transform.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30765-3
       
  • Finite-time H∞ control for a class of Markovian jumping neural networks
           with distributed time varying delays-LMI approach
    • Authors: P. BASKAR; S. PADMANABHAN; M. Syed ALI
      Pages: 561 - 579
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): P. BASKAR, S. PADMANABHAN, M. Syed ALI
      In this article, we investigates finite-time H ∞ control problem of Markovian jumping neural networks of neutral type with distributed time varying delays. The mathematical model of the Markovian jumping neural networks with distributed delays is established in which a set of neural networks are used as individual subsystems. Finite time stability analysis for such neural networks is addressed based on the linear matrix inequality approach. Numerical examples are given to illustrate the usefulness of our proposed method. The results obtained are compared with the results in the literature to show the conservativeness.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30766-5
       
  • Numerical simulations for a variable order fractional cable equation
    • Authors: A.M. NAGY; N.H. SWEILAM
      Pages: 580 - 590
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): A.M. NAGY, N.H. SWEILAM
      In this article, Crank-Nicolson method is used to study the variable order fractional cable equation. The variable order fractional derivatives are described in the Riemann-Liouville and the Grünwald-Letnikov sense. The stability analysis of the proposed technique is discussed. Numerical results are provided and compared with exact solutions to show the accuracy of the proposed technique.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30767-7
       
  • Equi-attraction and backward compactness of pullback attractors for
           point-dissipative Ginzburg-Landau equations
    • Authors: Yangrong LI; Lianbing SHE; Jinyan YIN
      Pages: 591 - 609
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Yangrong LI, Lianbing SHE, Jinyan YIN
      A new concept of an equi-attractor is introduced, and defined by the minimal compact set that attracts bounded sets uniformly in the past, for a non-autonomous dynamical system. It is shown that the compact equi-attraction implies the backward compactness of a pullback attractor. Also, an eventually equi-continuous and strongly bounded process has an equi-attractor if and only if it is strongly point dissipative and strongly asymptotically compact. Those results primely strengthen the known existence result of a backward bounded pullback attractor in the literature. Finally, the theoretical criteria are applied to prove the existence of both equi-attractor and backward compact attractor for a Ginzburg-Landau equation with some varying coefficients and a backward tempered external force.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30768-9
       
  • Convergence of hybrid viscosity and steepest-descent methods for
           pseudocontractive mappings and nonlinear Hammerstein equations
    • Authors: Yekini SHEHU; Olaniyi. S. IYIOLA
      Pages: 610 - 626
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Yekini SHEHU, Olaniyi. S. IYIOLA
      In this article, we first introduce an iterative method based on the hybrid viscosity approximation method and the hybrid steepest-descent method for finding a fixed point of a Lipschitz pseudocontractive mapping (assuming existence) and prove that our proposed scheme has strong convergence under some mild conditions imposed on algorithm parameters in real Hilbert spaces. Next, we introduce a new iterative method for a solution of a nonlinear integral equation of Hammerstein type and obtain strong convergence in real Hilbert spaces. Our results presented in this article generalize and extend the corresponding results on Lipschitz pseudocontractive mapping and nonlinear integral equation of Hammerstein type reported by some authors recently. We compare our iterative scheme numerically with other iterative scheme for solving non-linear integral equation of Hammerstein type to verify the efficiency and implementation of our new method.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30769-0
       
  • Diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow
           with fixed viscosity
    • Authors: Zhonglin WU; Shu WANG
      Pages: 627 - 642
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Zhonglin WU, Shu WANG
      We establish magnetic diffusion vanishing limit of the nonlinear pipe Magnetohydrodynamic flow by the mathematical validity of the Prandtl boundary layer theory with fixed viscosity. The convergence is verified under various Sobolev norms, including the L ∞(L 2) and L ∞(H1) norm.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30770-7
       
  • A note in approximative compactness and midpoint locally k-uniform
           rotundity in Banach spaces
    • Authors: Chunyan LIU; Zihou ZHANG; Yu ZHOU
      Pages: 643 - 650
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Chunyan LIU, Zihou ZHANG, Yu ZHOU
      In this article, we prove the following results: (1) A Banach space X is weak midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively weakly compact k-Chebyshev set; (2) A Banach space X is midpoint locally k-uniformly rotund if and only if every closed ball of X is an approximatively compact k-Chebyshev set.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30771-9
       
  • The global attractor for a viscous weakly dissipative generalized
           two-component μ-Hunter-Saxton system
    • Authors: Lei ZHANG; Bin LIU
      Pages: 651 - 672
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Lei ZHANG, Bin LIU
      This article is concerned with the existence of global attractor of a weakly dissipative generalized two-component μ-Hunter-Saxton (gμHS2) system with viscous terms. Under the period boundary conditions and with the help of the Galerkin procedure and compactness method, we first investigate the existence of global solution for the viscous weakly dissipative (gμHS2) system. On the basis of some uniformly prior estimates of the solution to the viscous weakly dissipative (gμHS2) system, we show that the semi-group of the solution operator { S ( t ) } t ≥ 0 has a bounded absorbing set. Moreover, we prove that the dynamical system { S ( t ) } t ≥ 0 possesses a global attractor in the Sobolev space H 2 ( S ) × H 2 ( S ) .

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30772-0
       
  • Liouville theorem for Choquard equation with finite Morse indices
    • Authors: Xiaojun ZHAO
      Pages: 673 - 680
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Xiaojun ZHAO
      In this article, we study the nonexistence of solution with finite Morse index for the following Choquard type equation - Δ u = ∫ R N u ( y ) p x - y α d y u ( x ) p - 2 u ( x )   in   R N , where N ≥ 3, 0 < α < {4,N}. Suppose that 2 < p < 2 N - α N - 2 , we will show that this problem does not possess nontrivial solution with finite Morse index. While for p = 2 N - α N - 2 , if i(u) < ∞ then we have ∫ R N ∫ R N u ( x ) p u ( y ) p x - y α d x d y   <   ∞ and ∫ R N ∇ u 2 d x = ∫ R N ∫ R N   u ( x ) p u ( y ) p x - y α   d x d y .

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30773-2
       
  • Solutions to BSDEs driven by both fractional Brownian motions and the
           underlying standard Brownian Motions
    • Authors: Yuecai HAN; Yifang SUN
      Pages: 681 - 694
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Yuecai HAN, Yifang SUN
      The local existence and uniqueness of the solutions to backward stochastic differential equations(BSDEs, in short) driven by both fractional Brownian motions with Hurst parameter H∈(1/2,1) and the underlying standard Brownian motions are studied. The generalization of the Itô formula involving the fractional and standard Brownian motions is provided. By theory of Malliavin calculus and contraction mapping principle, the local existence and uniqueness of the solutions to BSDEs driven by both fractional Brownian motions and the underlying standard Brownian motions are obtained.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30774-4
       
  • On a class of Douglas Finsler metrics
    • Authors: Hongmei ZHU
      Pages: 695 - 708
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Hongmei ZHU
      In this article, we study a class of Finsler metrics called general (α, β)-metrics, which are defined by a Riemannian metric α and a 1-form β. We determine all of Douglas general (α, β)-metrics on a manifold of dimension n > 2.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30775-6
       
  • Stability and bifurcation analysis of a delayed innovation diffusion model
    • Authors: Rakesh KUMAR; Anuj Kumar SHARMA; Kulbhushan AGNIHOTRI
      Pages: 709 - 732
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Rakesh KUMAR, Anuj Kumar SHARMA, Kulbhushan AGNIHOTRI
      In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage (time delay) is proposed. The model is analyzed by considering the effects of external as well as internal influences and other demographic processes such as emigration, intrinsic growth rate, death rate, etc. The asymptotical stability of the various equilibria is investigated. By analyzing the exponential characteristic equation with delay-dependent coefficients obtained through the variational matrix, it is found that Hopf bifurcation occurs when the evaluation period (time delay, τ) passes through a critical value. Applying the normal form theory and the center manifold argument, we derive the explicit formulas determining the properties of the bifurcating periodic solutions. To illustrate our theoretical analysis, some numerical simulations are also included.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30776-8
       
  • Existence and blow-up behavior of constrained minimizers for
           Schrödinger-Poisson-Slater system
    • Authors: Xincai ZHU
      Pages: 733 - 744
      Abstract: Publication date: March 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 2
      Author(s): Xincai ZHU
      In this article, we study constrained minimizers of the following variational problem e ( ρ ) : = inf { u ∈ H 1 ( R 3 ) , ‖ u ‖ 2 2 = ρ } E ( u ) , ρ   >   0 , where E(u) is the Schrödinger-Poisson-Slater (SPS) energy functional E ( u ) : = 1 2 ∫ R 3 ∇ u ( x ) 2 d x - 1 4 ∫ R 3 ∫ R 3 u 2 ( y ) u 2 ( x ) x - y d y d x - 1 p ∫ R 3 u ( x ) p d x   in   R 3 , and p∈ (2, 6). We prove the existence of minimizers for the cases 2 < p < 10 3 , ρ > 0, and p = 10 3 , 0 < ρ < ρ *, and show that e(ρ)= − ∞ for the other cases, where ρ* = ‖ ϕ ‖ 2 2 and ϕ(x) is the unique (up to translations) positive radially symmetric solution of - Δ u + u = u 7 3 in R 3 . Moreover, when e ( ρ * ) = - ∞ , the blow-up behavior of minimizers as ρ ↗ ρ * is also analyzed rigorously.

      PubDate: 2018-02-26T08:41:50Z
      DOI: 10.1016/s0252-9602(18)30777-x
       
  • Littlewood-Paley characterizations of anisotropic Hardy-Lorentz spaces
    • Authors: Jun LIU; Dachun YANG; Wen YUAN
      Pages: 1 - 33
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Jun LIU, Dachun YANG, Wen YUAN
      Let p∈ (0,1], q ∈(0,∞] and A be a general expansive matrix on ℝ n . Let H A p , q ( ℝ n ) be the anisotropic Hardy-Lorentz spaces associated with A defined via the non-tangential grand maximal function. In this article, the authors characterize H A p , q ( ℝ n ) in terms of the Lusin-area function, the Littlewood-Paley g-function or the Littlewood-Paley g λ *-function via first establishing an anisotropic Fefferman-Stein vector-valued inequality in the Lorentz space L p,qℝ n . All these characterizations are new even for the classical isotropic Hardy-Lorentz spaces on ℝ n . Moreover, the range of λ in the g λ *-function characterization of H A p , q ( ℝ n ) coincides with the best known one in the classical Hardy space H p ( ℝ n ) or in the anisotropic Hardy space H A p ( ℝ n ) .

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30115-7
       
  • Initial-boundary problem for the 1-D Euler-Boltzmann equations in
           radiation hydrodynamics
    • Authors: Jing ZHANG; Yongqian ZHANG
      Pages: 34 - 56
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Jing ZHANG, Yongqian ZHANG
      We study the initial-boundary value problem for the one dimensional Euler-Boltzmann equation with reflection boundary condition. For initial data with small total variation, we use a modified Glimm scheme to construct the global approximate solutions (UΔt,d, IΔt,d ) and prove that there is a subsequence of the approximate solutions which is convergent to the global solution.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30116-9
       
  • Robust dependence measure for detecting associations in large data set
    • Authors: Hangjin JIANG; Qiongli WU
      Pages: 57 - 72
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Hangjin JIANG, Qiongli WU
      In this paper, we proposed a new statistical dependency measure for two random vectors based on copula, called copula dependency coefficient (CDC). The CDC is proved to be robust to outliers and easy to be implemented. Especially, it is powerful and applicable to high-dimensional problems. All these properties make CDC practically important in related applications. Both experimental and application results show that CDC is a good robust dependence measure for association detecting.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30117-0
       
  • The optimal control for promoting the cooperation in evolution game
           generated by Prisoner's Dilemma
    • Authors: Xian-jia WANG; Rui DONG; Lin CHEN
      Pages: 73 - 92
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Xian-jia WANG, Rui DONG, Lin CHEN
      Natural selection opposes the evolution of cooperation unless specific mechanisms are at work in Prisoner's Dilemma. By taking advantage of the modern control theory, the controller design is discussed and the optimal control is designed for promoting cooperation based on the recent advances in mechanisms for the evolution of cooperation. Two control strategies are proposed: compensation control strategy for the cooperator when playing against a defector and reward control strategy for cooperator when playing against a cooperator. The feasibility and effectiveness of these control strategies for promoting cooperation in different stages are analyzed. The reward for cooperation can't prevent defection from being evolutionary stable strategy (ESS). On the other hand, compensation for the cooperator can't prevent defection from emerging and sustaining. By considering the effect and the cost, an optimal control scheme with constraint on the admissible control set is put forward. By analyzing the special nonlinear system of replicator dynamics, the exact analytic solution of the optimal control scheme is obtained based on the maximum principle. Finally, the effectiveness of the proposed method is illustrated by examples.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30118-2
       
  • Discreteness of the exterior transmission eigenvalues
    • Authors: Meiman SUN; Guozheng YAN
      Pages: 110 - 124
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Meiman SUN, Guozheng YAN
      In this paper we consider a kind of exterior transmission problem in which the refractive index n(x) is a piecewise positive constant. Through establishing an equivalent boundary integral system, we obtain that the set of exterior transmission eigenvalues is a discrete set. Furthermore, we prove that there does not exist a transmission eigenvalue under some conditions.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30120-0
       
  • Small data solutions of 2-D quasilinear wave equations under null
           conditions
    • Authors: Yingbo LIU; Ingo WITT
      Pages: 125 - 150
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Yingbo LIU, Ingo WITT
      For the 2-D quasilinear wave equation ( ∂ t 2 - Δ x ) u + ∑ i , j = 0 2 g i j ( ∂ u ) ∂ i j u = 0 satisfying null condition or both null conditions, a blowup or global existence result has been shown by Alinhac. In this paper, we consider a more general 2-D quasilinear wave equation ( ∂ t 2 - Δ x ) u + ∑ i , j = 0 2 g i j ( u ,   ∂ u ) ∂ i j u = 0 satisfying null conditions with small initial data and the coefficients depending simultaneously on u and ∂u. Through construction of an approximate solution, combined with weighted energy integral method, a quasi-global or global existence solution are established by continuous induction.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30121-2
       
  • Yet on linear structures of norm-attaining functionals on Asplund spaces
    • Authors: Lixin CHENG; Sijie LUO
      Pages: 151 - 156
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Lixin CHENG, Sijie LUO
      In this paper, we show that if an Asplund space X is either a Banach lattice or a quotient space of C(K), then it can be equivalently renormed so that the set of norm-attaining functionals contains an infinite dimensional closed subspace of X * if and only if X * contains an infinite dimensional reflexive subspace, which gives a partial answer to a question of Bandyopadhyay and Godefroy.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30122-4
       
  • Euler scheme and measurable flows for stochastic differential equations
           with non-Lipschitz coefficients
    • Authors: Zhiming WANG
      Pages: 157 - 168
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Zhiming WANG
      For a stochastic differential equation with non-Lipschitz coefficients, we construct, by Euler scheme, a measurable flow of the solution, and we prove the solution is a Markov process.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30123-6
       
  • A note on conical Kähler-Ricci flow on minimal elliptic Kähler
           surfaces
    • Authors: Yashan ZHANG
      Pages: 169 - 176
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Yashan ZHANG
      We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kähler-Ricci flow on a minimal elliptic Kähler surface converges in the sense of currents to a generalized conical Kähler-Einstein on its canonical model. Moreover, the convergence takes place smoothly outside the singular fibers and the chosen divisor.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30124-8
       
  • Continuously decreasing solutions for a general iterative equation
    • Authors: Wei SONG; Lin LI
      Pages: 177 - 186
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Wei SONG, Lin LI
      Most known results on polynomial-like iterative equations are concentrated to increasing solutions. Without the uniformity of orientation and monotonicity, it becomes much more difficult for decreasing cases. In this paper, we prove the existence of decreasing solutions for a general iterative equation, which was proposed as an open problem in [J. Zhang, L. Yang, W. Zhang, Some advances on functional equations, Adv. Math. (China) 24 (1995) 385–405] (or [W. Zhang, J.A. Baker, Continuous solutions of a polynomial-like iterative equation with variable coefficients, Ann. Polon. Math. 73 (2000) 29–36]).

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30125-x
       
  • Existence of the uniform trajectory attractor for a 3D incompressible
           non-Newtonian fluid flow
    • Authors: Chengzhi WANG; Mingshu ZHANG; Caidi ZHAO
      Pages: 187 - 202
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Chengzhi WANG, Mingshu ZHANG, Caidi ZHAO
      This paper studies the trajectory asymptotic behavior of a non-autonomous incompressible non-Newtonian fluid in 3D bounded domains. In appropriate topologies, the authors prove the existence of the uniform trajectory attractor for the translation semigroup acting on the united trajectory space.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30126-1
       
  • Solutions to quasilinear hyperbolic conservation laws with initial
           discontinuities
    • Authors: Haiping NIU; Shu WANG
      Pages: 203 - 219
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Haiping NIU, Shu WANG
      We study the singular structure of a family of two dimensional non-self-similar global solutions and their interactions for quasilinear hyperbolic conservation laws. For the case when the initial discontinuity happens only on two disjoint unit circles and the initial data are two different constant states, global solutions are constructed and some new phenomena are discovered. In the analysis, we first construct the solution for 0 ≤ t < T *. Then, when T *≤ t < T', we get a new shock wave between two rarefactions, and then, when t>T', another shock wave between two shock waves occurs. Finally, we give the large time behavior of the solution when t→∞. The technique does not involve dimensional reduction or coordinate transformation.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30127-3
       
  • Asymptotic equivalence of alternately advanced and delayed differential
           systems with piecewise constant generalized arguments
    • Authors: Kuo-Shou CHIU
      Pages: 220 - 236
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Kuo-Shou CHIU
      In this paper, we investigate the existence, uniqueness and the asymptotic equivalence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type (DEPCAG). This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30128-5
       
  • The homogeneous polynomial solutions for the Grushin operator
    • Authors: Hairong LIU
      Pages: 237 - 247
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Hairong LIU
      In this paper, the author computes the dimension of space of homogeneous Grushin-harmonic functions, and give an orthogonal basis of them. Moreover, the author describes the nodal curves of these homogenous Grushin-harmonic basis. As an application of the orthogonal basis, the author proves a Liouville-type theorem for the Grushin operator, that is the Grushin-harmonic functions are homogeneous polynomials provided that the frequency of such a function is equal to some constant.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30129-7
       
  • On some rotationally symmetric gradient pseudo-Kähler-Ricci solitons
    • Authors: Xiaojuan DUAN
      Pages: 269 - 288
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Xiaojuan DUAN
      In this paper, we explicitly construct some rotationally symmetric gradient pseudo-Kähler-Ricci solitons which depend on some parameters, on some line bundles and other bundles over projective spaces. We also discuss the “phase change” phenomenon caused by the variation of parameters.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30131-5
       
  • Global stability of traveling wavefronts for nonlocal reaction-diffusion
           equations with time delay
    • Authors: Zhaoxing YANG; Guobao ZHANG
      Pages: 289 - 302
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Zhaoxing YANG, Guobao ZHANG
      This paper is concerned with the stability of traveling wavefronts for a population dynamics model with time delay. Combining the weighted energy method and the comparison principle, the global exponential stability of noncritical traveling wavefronts (waves with speeds c>c *, where c=c * is the minimal speed) is established, when the initial perturbations around the wavefront decays to zero exponentially in space as x→ − ∞, but it can be allowed arbitrary large in other locations, which improves the results in [9, 18, 21].

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30132-7
       
  • Lavrentiev's regularization method for nonlinear ill-posed equations in
           Banach spaces
    • Authors: Santhosh GEORGE; C.D. SREEDEEP
      Pages: 303 - 314
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Santhosh GEORGE, C.D. SREEDEEP
      In this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the implementation of Lavrentiev regularization method. Using general Hölder type source condition we obtain an optimal order error estimate. Also we consider the adaptive parameter choice strategy proposed by Pereverzev and Schock (2005) for choosing the regularization parameter.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30133-9
       
  • Currents carried by the subgradient graphs of semi-convex functions and
           applications to Hessian measures
    • Authors: Qiang TU; Wenyi CHEN
      Pages: 315 - 332
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Qiang TU, Wenyi CHEN
      In this paper we study integer multiplicity rectifiable currents carried by the subgradient (subdifferential) graphs of semi-convex functions on an n-dimensional convex domain, and show a weak continuity theorem with respect to pointwise convergence for such currents. As an application, the structure theorem of the Lagrangian currents for semi-convex functions is given and the k-Hessian measures are calculated by a different method in terms of currents.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30134-0
       
  • Solving coupled pseudo-parabolic equation using a modified double Laplace
           decomposition method
    • Authors: Hassan Eltayeb GADAIN
      Pages: 333 - 346
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Hassan Eltayeb GADAIN
      In this paper, the modification of double Laplace decomposition method is proposed for the analytical approximation solution of a coupled system of pseudo-parabolic equation with initial conditions. Some examples are given to support our presented method. In addition, we prove the convergence of double Laplace transform decomposition method applied to our problems.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30135-2
       
  • Pricing catastrophe options with counterparty credit risk in a reduced
           form model
    • Authors: Yajuan XU; Guojing WANG
      Pages: 347 - 360
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Yajuan XU, Guojing WANG
      In this paper, we study the price of catastrophe options with counterparty credit risk in a reduced form model. We assume that the loss process is generated by a doubly stochastic Poisson process, the share price process is modeled through a jump-diffusion process which is correlated to the loss process, the interest rate process and the default intensity process are modeled through the Vasicek model. We derive the closed form formulae for pricing catastrophe options in a reduced form model. Furthermore, we make some numerical analysis on the explicit formulae.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30136-4
       
  • Cash subadditive risk measures for portfolio vectors
    • Authors: Hongwei LIU; Yijun HU; Linxiao WEI
      Pages: 361 - 376
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Hongwei LIU, Yijun HU, Linxiao WEI
      In this paper, from the viewpoint of the time value of money, we study the risk measures for portfolio vectors with discount factor. Cash subadditive risk measures for portfolio vectors are proposed. Representation results are given by two different methods which are convex analysis and enlarging space. Especially, the method of convex analysis make the line of reasoning and the representation result be simpler. Meanwhile, spot and forward risk measures for portfolio vectors are also introduced, and the relationships between them are investigated.

      PubDate: 2017-12-12T21:35:58Z
      DOI: 10.1016/s0252-9602(17)30137-6
       
  • Stochastic heat equation with fractional Laplacian and fractional noise:
           existence of the solution and analysis of its density
    • Authors: Junfeng LIU; Ciprian A. TUDOR
      Pages: 1545 - 1566
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Junfeng LIU, Ciprian A. TUDOR
      In this paper we study a fractional stochastic heat equation on R d ( d   ≥   1 ) with additive noise ∂ ∂ t u ( t , x ) = d δ _ α _ u ( t , x ) + b ( u ( t , x ) ) + W ˙ H ( t , x ) where d δ _ α _ is a nonlocal fractional differential operator and W ˙ H is a Gaussian-colored noise. We show the existence and the uniqueness of the mild solution for this equation. In addition, in the case of space dimension d=1, we prove the existence of the density for this solution and we establish lower and upper Gaussian bounds for the density by Malliavin calculus.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30091-7
       
  • Duality of generalized Dunkl-Lipschitz spaces
    • Authors: Samir KALLEL
      Pages: 1567 - 1593
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Samir KALLEL
      The aim of this paper is to prove duality and reflexivity of generalized Lipschitz spaces Λ α , p , q k ( R ) , α   ∈   R and 1   ≤   p ,   q   ≤   ∞ , in the context of Dunkl harmonic analysis.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30092-9
       
  • Determining the discriminating domain for hybrid linear differential game
           with two players and two targets
    • Authors: Yanli HAN; Yan GAO
      Pages: 1594 - 1606
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Yanli HAN, Yan GAO
      This paper studies a bounded discriminating domain for hybrid linear differential game with two players and two targets using viability theory. First of all, we prove that the convex hull of a closed set is also a discriminating domain if the set is a discriminating domain. Secondly, in order to determine that a bounded polyhedron is a discriminating domain, we give a result that it only needs to verify that the extreme points of the polyhedron meet the viability conditions. The difference between our result and the existing ones is that our result just needs to verify the finite points (extreme points) and the existing ones need to verify all points in the bounded polyhedron.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30093-0
       
  • Decay rate of Fourier transforms of some self-similar measures
    • Authors: Xiang GAO; Jihua MA
      Pages: 1607 - 1618
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Xiang GAO, Jihua MA
      This paper is concerned with the Diophantine properties of the sequence { ξ θ n } , where 1   ≤     ξ   <   θ and θ is a rational or an algebraic integer. We establish a combinatorial proposition which can be used to study such two cases in the same manner. It is shown that the decay rate of the Fourier transforms of self-similar measures μ λ with λ   =   θ - 1 as the uniform contractive ratio is logarithmic. This generalizes some results of Kershner and Bufetov-Solomyak, who consider the case of Bernoulli convolutions. As an application, we prove that μ λ almost every x is normal to any base b ≥ 2, which implies that there exist infinitely many absolute normal numbers on the corresponding self-similar set. This can be seen as a complementary result of the well-known Cassels-Schmidt theorem.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30094-2
       
  • Doob's inequality, Burkholder-Gundy inequality and martingale transforms
           on martingale Morrey spaces
    • Authors: Kwok-Pun
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Kwok-Pun HO
      We introduce the martingale Morrey spaces built on Banach function spaces. We establish the Doob's inequality, the Burkholder-Gundy inequality and the boundedness of martingale transforms for our martingale Morrey spaces. We also introduce the martingale block spaces. By the Doob's inequality on martingale block spaces, we obtain the Davis' decompositions for martingale Morrey spaces.

      PubDate: 2017-12-12T21:35:58Z
       
  • The plancherel formula for the line bundles on SL(n + 1, ℝ)/S(GL(1,ℝ)
           × GL(n, ℝ))
    • Authors: ZHU
      Abstract: Publication date: January 2018
      Source:Acta Mathematica Scientia, Volume 38, Issue 1
      Author(s): Li ZHU
      In this paper we obtain the Plancherel formula for the spaces of L 2-sections of the line bundles over the pseudo-Riemannian symmetric space G/H where G = SL(n + 1, ℝ) and H = S(GL(1, ℝ) × GL(n 1, ℝ)). The Plancherel formula is given in an explicit form by means of spherical distributions associated with the character χλ of the subgroup H. We follow the method of Faraut, Kosters and van Dijk.

      PubDate: 2017-12-12T21:35:58Z
       
 
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
 
Home (Search)
Subjects A-Z
Publishers A-Z
Customise
APIs
Your IP address: 54.80.123.20
 
About JournalTOCs
API
Help
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-