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  Subjects -> MATHEMATICS (Total: 910 journals)
    - APPLIED MATHEMATICS (75 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (677 journals)
    - MATHEMATICS (GENERAL) (41 journals)
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    - PROBABILITIES AND MATH STATISTICS (78 journals)

MATHEMATICS (677 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: 16)
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: 25)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 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: 6)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
Advances in Decision Sciences     Open Access   (Followers: 5)
Advances in Difference Equations     Open Access   (Followers: 2)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 11)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 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: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 9)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of 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: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 7)
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: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 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)
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: 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: 1)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 21)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 3)
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  
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 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: 20)
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: 6)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 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: 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: 7)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 10)
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: 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)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)

        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  [3123 journals]
  • 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
       
  • A new perturbation theorem for Moore-Penrose metric generalized inverse of
           bounded linear operators in Banach spaces
    • Authors: Zi WANG; Yuwen WANG
      Pages: 1619 - 1631
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Zi WANG, Yuwen WANG
      In this paper, we investigate a new perturbation theorem for the Moore-Penrose metric generalized inverses of a bounded linear operator in Banach space. The main tool in this paper is “the generalized Neumann lemma” which is quite different from the method in [12] where “the generalized Banach lemma” was used. By the method of the perturbation analysis of bounded linear operators, we obtain an explicit perturbation theorem and three inequalities about error estimates for the Moore-Penrose metric generalized inverse of bounded linear operator under the generalized Neumann lemma and the concept of stable perturbations in Banach spaces.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30095-4
       
  • Blow-up criterion of classical solutions for the incompressible nematic
           liquid crystal flows
    • Authors: Zhensheng GAO; Zhong TAN
      Pages: 1632 - 1638
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Zhensheng GAO, Zhong TAN
      In this paper, we consider the short time classical solution to a simplified hydrodynamic flow modeling incompressible, nematic liquid crystal materials in R 3 . We establish a criterion for possible breakdown of such solutions at a finite time. More precisely, if (u,d) is smooth up to time T provided that ∫ 0 T ∇   ×   u ( t , ⋅ ) B M O ( R 3 ) + ∇   d ( t , ⋅ ) L 4 ( R 3 ) 8 d t   <   ∞ .

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30096-6
       
  • Lower bounds of Dirichlet eigenvalues for a class of finitely degenerate
           Grushin type elliptic operators
    • Authors: Hua CHEN; Hongge CHEN; Yirui DUAN; Xin HU
      Pages: 1653 - 1664
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Hua CHEN, Hongge CHEN, Yirui DUAN, Xin HU
      Let Ω be a bounded open domain in R n with smooth boundary ∂Ω, X   =   ( X 1 , X 2 , ⋯ , X m ) be a system of real smooth vector fields defined on Ω and the boundary ∂Ω is non-characteristic for X. If X satisfies the Hörmander's condition, then the vector field is finitely degenerate and the sum of square operator Δ X = ∑ j = 1 m X j 2 is a finitely degenerate elliptic operator. In this paper, we shall study the sharp estimate of the Dirichlet eigenvalue for a class of general Grushin type degenerate elliptic operators ΔX on Ω.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30098-x
       
  • Multiple symmetric results for a class of biharmonic elliptic systems with
           critical homogeneous nonlinearity in RN
    • Authors: Zhiying DENG; Yisheng HUANG
      Pages: 1665 - 1684
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Zhiying DENG, Yisheng HUANG
      This paper is dedicated to studying the existence and multiplicity of symmetric solutions for a class of biharmonic elliptic systems with critical homogeneous nonlinearity in R N . By virtue of variational methods and the symmetric criticality principle of Palais, we establish several existence and multiplicity results of G-symmetric solutions under certain appropriate hypotheses on the parameters and the weighted functions.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30099-1
       
  • Riccati-type result for meromorphic solutions of systems of composite
           functional equations
    • Authors: Lingyun GAO; Manli LIU
      Pages: 1685 - 1694
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Lingyun GAO, Manli LIU
      By use of Nevanlinna value distribution theory, we will investigate the properties of meromorphic solutions of two types of systems of composite functional equations and obtain some results. One of the results we get is about both components of meromorphic solutions on the system of composite functional equations satisfying Riccati differential equation, the other one is property of meromorphic solutions of the other system of composite functional equations while restricting the growth.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30100-5
       
  • Hyponormality of block Toeplitz operators on the weighted Bergman spaces
    • Authors: Jongrak LEE
      Pages: 1695 - 1704
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Jongrak LEE
      In this paper we consider the block Toeplitz operators T Phi on the weighted Bergman space A α 2 ( D ,   C n ) and we give a necessary and sufficient condition for the hyponormality of block Toeplitz operators with symbol in the class of functions Φ = F + G * with matrix-valued polynomial functions F and G with degree 2.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30101-7
       
  • Flip and N-S bifurcation behavior of a predator-prey model with piecewise
           constant arguments and time delay
    • Authors: Suiming SHANG; Yu TIAN; Yajing ZHANG
      Pages: 1705 - 1726
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Suiming SHANG, Yu TIAN, Yajing ZHANG
      In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30102-9
       
  • On hyperstability of the biadditive functional equation
    • Authors: Iz-iddine EL-FASSI; Janusz BRZDĘK; Abdellatif CHAHBI; Samir KABBAJ
      Pages: 1727 - 1739
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Iz-iddine EL-FASSI, Janusz BRZDĘK, Abdellatif CHAHBI, Samir KABBAJ
      We present results on approximate solutions to the biadditive equation f ( x + y ,   z - w ) + f ( x - y ,   z + w ) = 2 f ( x , z ) - 2 f ( y , w ) on a restricted domain. The proof is based on a quite recent fixed point theorem in some function spaces. Our main results state that, under some weak natural assumptions, functions satisfying the equation approximately (in some sense) must be actually solutions to it. In this way we obtain inequalities characterizing biadditive mappings and inner product spaces. Our outcomes are connected with the well known issues of Ulam stability and hyperstability.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30103-0
       
  • Discontinuous traveling wave entropy solutions of a modified Allen-Cahn
           model
    • Authors: Tianyuan XU; Chunhua JIN; Shanming JI
      Pages: 1740 - 1760
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Tianyuan XU, Chunhua JIN, Shanming JI
      This paper deals with the existence and the asymptotic behavior of discontinuous traveling wave entropy solutions for a modified Allen-Cahn model, in which, the usual Ficken-based model for phase transition is replaced with a more physical model with nonlinear diffusive flux. The discontinuous traveling waves correspond to the discontinuous phase transition phenomena.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30104-2
       
  • Another characterizations of Muckenhoupt Ap class
    • Authors: Dinghuai WANG; Jiang ZHOU; Wenyi CHEN
      Pages: 1761 - 1774
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Dinghuai WANG, Jiang ZHOU, Wenyi CHEN
      This manuscript addresses Muckenhoupt A p weight theory in connection to Morrey and BMO spaces. It is proved that ω belongs to Muckenhoupt A p class, if and only if Hardy-Littlewood maximal function M is bounded from weighted Lebesgue spaces L p(ω) to weighted Morrey spaces M q p ( ω ) for 1 < q < p < ∞. As a corollary, if M is (weak) bounded on M q p ( ω ) , then ω ∈ A p. The A p condition also characterizes the boundedness of the Riesz transform R j and convolution operators T ɛ on weighted Morrey spaces. Finally, we show that ω ∈ A p if and only if ω   ∈ B M O p ′ ( ω ) for 1 ≤ p < ∞ and 1/p+1/p′=1.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30105-4
       
  • Large time behavior of solutions to the perturbed Hasegawa-Mima equation
    • Authors: Lijuan WANG
      Pages: 1775 - 1790
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Lijuan WANG
      The large time behavior of solutions to the two-dimensional perturbed Hasegawa-Mima equation with large initial data is studied in this paper. Based on the time-frequency decomposition and the method of Green function, we not only obtain the optimal decay rate but also establish the pointwise estimate of global classical solutions.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30106-6
       
  • The equivalent characterization of F(p,q,s) space on bounded symmetric
           domains of Cn*
    • Authors: Shenlian LI; Xuejun ZHANG; Si XU
      Pages: 1791 - 1802
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Shenlian LI, Xuejun ZHANG, Si XU
      Let Ω be a bounded symmetric domain in Cn. The purpose of this article is to define and characterize the general function space F(p,q,s) on Ω. Characterizing functions in the F(p,q,s) space is a work of considerable interest nowadays. In this article, the authors give several equivalent descriptions of the functions in the F(p,q,s) space on Ω in terms of fractional differential operators. At the same time, the authors give the relationship between F(p,q,s) space and Bloch type space on Ω too.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30107-8
       
  • Solitary wave and periodic wave solutions for the non-Newtonian filtration
           equations with nonlinear sources and a time-varying delay
    • Authors: Fanchao KONG; Zhiguo LUO
      Pages: 1803 - 1816
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Fanchao KONG, Zhiguo LUO
      This paper is concerned with the non-Newtonian filtration equations with nonlinear sources and a time-varying delay. By an extension of Mawhin's continuation theorem and some analysis methods, several sufficient conditions ensuring the existence of solitary wave and periodic wave solutions are obtained. Some corresponding results in the literature are improved and extended. An example is given to illustrate the effectiveness of our results.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30108-x
       
  • The generalized Roper-Suffridge operator on the unit ball in complex
           Banach and Hilbert spaces
    • Authors: Yanyan CUI; Chaojun WANG; Hao LIU
      Pages: 1817 - 1829
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Yanyan CUI, Chaojun WANG, Hao LIU
      In this paper, we extend the Roper-Suffridge extension operator in complex Banach space, and prove that the extended Roper-Suffridge operators preserve the properties of the subclasses of spirallike mappings on the unit ball in complex Banach spaces. Thereby, we promote the conclusions to the cases in complex Hilbert spaces. The conclusions provide new approaches to construct these subclasses of spirallike mappings in several complex variables.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30109-1
       
  • Properties of difference Painlevé IV equations
    • Authors: Shuangting LAN; Zongxuan CHEN
      Pages: 1830 - 1840
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Shuangting LAN, Zongxuan CHEN
      In this paper, we investigate difference Painlevé IV equations, and obtain some results on Nevanlinna exceptional values of transcendental meromorphic solutions w(z) with finite order, their differences Δ w ( z ) = w ( z + 1 ) - w ( z ) and divided differences Δ w ( z ) w ( z ) .

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30110-8
       
  • Uniform Hölder estimates for a type of nonlinear elliptic equations with
           rapidly oscillatory coefficients
    • Authors: Rong DONG; Dongsheng LI
      Pages: 1841 - 1860
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Rong DONG, Dongsheng LI
      In this paper, a type of nonlinear elliptic equations with rapidly oscillatory coefficients is investigated. By compactness methods, we show uniform Hölder estimates of solutions in a C 1 bounded domain.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30111-x
       
  • The integration of algebroidal functions
    • Authors: Daochun SUN; Yingying HUO; Yinying KONG; Fujie CHAI
      Pages: 1861 - 1869
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Daochun SUN, Yingying HUO, Yinying KONG, Fujie CHAI
      In this paper, we introduce the integration of algebroidal functions on Riemann surfaces for the first time. Some properties of integration are obtained. By giving the definition of residues and integral function element, we obtain the condition that the integral is independent of path. At last, we prove that the integral of an irreducible algebroidal function is also an irreducible algebroidal function if all the residues at critical points are zeros.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30112-1
       
  • Existence of nontrivial solutions for generalized quasilinear Schrödinger
           equations with critical or supercritical growths
    • Authors: Quanqing LI; Xian WU
      Pages: 1870 - 1880
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Quanqing LI, Xian WU
      In this paper, we study the following generalized quasilinear Schrödinger equations with critical or supercritical growths - div ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) ∇ u 2 + V ( x ) u = f ( x , u ) + λ u p - 2 u ,   x   ∈   R N , where λ   >   0 ,   N   ≥   3 ,   g :   R → R + is a C 1 even function, g ( 0 ) = 1 ,   g ′ ( s ) ≥ 0 for all s   ≥   0 ,   lim s → + ∞ g ( s ) s α - 1 : β   >   0 for some α ≥ 1 and ( α - 1 ) g ( s )   >   g ′ ( s ) s for all s > 0 and p ≥ α2*. Under some suitable conditions, we prove that the equation has a nontrivial solution for small λ > 0 using a change of variables and variational method.

      PubDate: 2017-09-30T14:35:08Z
      DOI: 10.1016/s0252-9602(17)30113-3
       
  • Zero dissipation limit to a Riemann solution for the compressible
           Navier-Stokes system of general gas
    • Authors: Hakho HONG; Teng WANG
      Pages: 1177 - 1208
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Hakho HONG, Teng WANG
      For the general gas including ideal polytropic gas, we study the zero dissipation limit problem of the full 1-D compressible Navier-Stokes equations toward the superposition of contact discontinuity and two rarefaction waves. In the case of both smooth and Riemann initial data, we show that if the solutions to the corresponding Euler system consist of the composite wave of two rarefaction wave and contact discontinuity, then there exist solutions to Navier-Stokes equations which converge to the Riemman solutions away from the initial layer with a decay rate in any fixed time interval as the viscosity and the heat-conductivity coefficients tend to zero. The proof is based on scaling arguments, the construction of the approximate profiles and delicate energy estimates. Notice that we have no need to restrict the strengths of the contact discontinuity and rarefaction waves to be small.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30067-x
       
  • On a generalized geometric constant and sufficient conditions for normal
           structure in Banach spaces
    • Authors: Mina DINARVAND
      Pages: 1209 - 1220
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Mina DINARVAND
      In this paper, we introduce a new geometric constant C N J ( p ) ( a , X ) of a Banach space X, which is closely related to the generalized von Neumann-Jordan constant and analyze some properties of the constant. Subsequently, we present several sufficient conditions for normal structure of a Banach space in terms of this new constant, the generalized James constant, the generalized García-Falset coefficient and the coefficient of weak orthogonality of Sims. Our main results of the paper generalize some known results in the recent literature.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30068-1
       
  • Szegö type factorization of Haagerup noncommutative Hardy spaces
    • Authors: Turdebek N. Bekjan
      Pages: 1221 - 1229
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Turdebek N. Bekjan
      Let M be a σ-finite von Neumann algebra equipped with a normal faithful state φ, and let A be a maximal subdiagonal algebra of M. We proved a Szegö type factorization theorem for the Haagerup noncommutative Hp-spaces.

      PubDate: 2017-08-27T16:02:54Z
      DOI: 10.1016/s0252-9602(17)30069-3
       
  • 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
       
  • A variational-hemivariational inequality in contact problem for locking
           materials and nonmonotone slip dependent friction
    • Authors: Justyna
      Abstract: Publication date: November 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 6
      Author(s): Stanisław MIGÓRSKI, Justyna OGORZAŁY
      We study a new class of elliptic variational-hemivariational inequalities arising in the modelling of contact problems for elastic ideally locking materials. The contact is described by the Signorini unilateral contact condition and the friction is modelled by the nonmonotone multivalued subdifferential condition which depends on the slip. The problem is governed by a nonlinear elasticity operator, the subdifferential of the indicator function of a convex set which describes the locking constraints and a nonconvex locally Lipschitz friction potential. The result on existence and uniqueness of solution to the inequality is shown. The proof is based on a surjectivity result for maximal monotone and pseudomonotone operators combined with the application of the Banach contraction principle.

      PubDate: 2017-09-30T14:35:08Z
       
  • Generalized riemann integral on fractal sets
    • Authors: Feng
      Abstract: Publication date: September 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 5
      Author(s): Feng SU
      The theory of integration to mathematical analysis is so important that many mathematicians continue to develop new theory to enlarge the class of integrable functions and simplify the Lebesgue theory integration. In this paper, by slight modifying the definition of the Henstock integral which was introduced by Jaroslav Kurzweil and Ralph Henstock, we present a new definition of integral on fractal sets. Furthermore, its integrability has been discussed, and the relationship between differentiation and integral is also established. As an example, the integral of Cantor function on Cantor set is calculated.

      PubDate: 2017-08-27T16:02:54Z
       
 
 
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