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  Subjects -> MATHEMATICS (Total: 879 journals)
    - APPLIED MATHEMATICS (71 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (651 journals)
    - MATHEMATICS (GENERAL) (42 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (77 journals)

MATHEMATICS (651 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
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: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 7)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 3)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 3)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 9)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (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: 19)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access  
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: 7)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 2)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 14)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 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: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 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: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Acta Mathematica Scientia
  [SJR: 0.615]   [H-I: 21]   [5 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0252-9602
   Published by Elsevier Homepage  [3043 journals]
  • Renormalized solutions of elliptic equations with Robin boundary
           conditions
    • Authors: Olivier GUIBÉ; Alip OROPEZA
      Pages: 889 - 910
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Olivier GUIBÉ, Alip OROPEZA
      In the present paper, we consider elliptic equations with nonlinear and nonhomogeneous Robin boundary conditions of the type { - div ( B ( x , u ) ∇ u ) = f   in   Ω , u = 0   on   Γ o B ( x , u ) ∇ u ⋅ n → + γ ( x ) h ( u ) = g   on   Γ 1 where f and g are the element of L 1 (Ω) and L 1 (Γ1), respectively. We define a notion of renormalized solution and we prove the existence of a solution. Under additional assumptions on the matrix field B we show that the renormalized solution is unique.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30046-2
       
  • Existence of solutions of nonlocal perturbations of dirichlet discrete
           nonlinear problems
    • Authors: Alberto CABADA; Nikolay D. DIMITROV
      Pages: 911 - 926
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Alberto CABADA, Nikolay D. DIMITROV
      This paper is devoted to the study of second order nonlinear difference equations. A Nonlocal Perturbation of a Dirichlet Boundary Value Problem is considered. An exhaustive study of the related Green's function to the linear part is done. The exact expression of the function is given, moreover the range of parameter for which it has constant sign is obtained. Using this, some existence results for the nonlinear problem are deduced from monotone iterative techniques, the classical Krasnoselski fixed point theorem or by application of recent fixed point theorems that combine both theories.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30047-4
       
  • Dynamical behavior of a stochastic HBV infection model with logistic
           hepatocyte growth
    • Authors: Qun LIU; Daqing JIANG; Ningzhong SHI; Tasawar HAYAT; Ahmed ALSAEDI
      Pages: 927 - 940
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Qun LIU, Daqing JIANG, Ningzhong SHI, Tasawar HAYAT, Ahmed ALSAEDI
      This paper is concerned with a stochastic HBV infection model with logistic growth. First, by constructing suitable stochastic Lyapunov functions, we establish sufficient conditions for the existence of ergodic stationary distribution of the solution to the HBV infection model. Then we obtain sufficient conditions for extinction of the disease. The stationary distribution shows that the disease can become persistent in vivo.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30048-6
       
  • Global well-posedness and blow-up for the hartree equation
    • Authors: Lingyan YANG; Xiaoguang LI; Yonghong WU; Louis CACCETTA
      Pages: 941 - 948
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Lingyan YANG, Xiaoguang LI, Yonghong WU, Louis CACCETTA
      For 2 < γ < min {4,n}, we consider the focusing Hartree equation (0.1) i u t + Δ u + ( x - γ   * u 2 ) u = 0 ,   x   ∈   R n . Let M[u] and E[u] denote the mass and energy, respectively, of a solution u, and Q be the ground state of − Δ Q + Q = ( x −γ * Q 2)Q. Guo and Wang [Z. Angew. Math. Phy.,2014] established a dichotomy for scattering versus blow-up for the Cauchy problem of (0.1) if M [ u ] 1 - s c   E [ u ] s c   <   M [ Q ] 1 - s c   E [ Q ] s c ( s c = γ - 2 2 ) . In this paper, we consider the complementary case M [ u ] 1 - s c   E [ u ] s c   ≥   M [ Q ] 1 - s c   E [ Q ] s c and obtain a criteria on blow-up and global existence for the Hartree equation (0.1).

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30049-8
       
  • Stability of a von Karman equation with infinite memory
    • Authors: Sun-Hye PARK
      Pages: 965 - 973
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Sun-Hye PARK
      In this paper, we consider a von Karman equation with infinite memory. For von Karman equations with finite memory, there is a lot of literature concerning on existence of the solutions, decay of the energy, and existence of the attractors. However, there are few results on existence and energy decay rate of the solutions for von Karman equations with infinite memory. The main goal of the present paper is to generalize previous results by treating infinite history instead of finite history.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30051-6
       
  • Blow-up and life span estimates for a class of nonlinear degenerate
           parabolic system with time-dependent coefficients
    • Authors: Anyin XIA; Mingshu FAN; Shan LI
      Pages: 974 - 984
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Anyin XIA, Mingshu FAN, Shan LI
      This paper deals with the singularity and global regularity for a class of nonlinear porous medium system with time-dependent coefficients under homogeneous Dirichlet boundary conditions. First, by comparison principle, some global regularity results are established. Secondly, using some differential inequality technique, we investigate the blow-up solution to the initial-boundary value problem. Furthermore, upper and lower bounds for the maximum blow-up time under some appropriate hypotheses are derived as long as blow-up occurs.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30052-8
       
  • Impulsive differential equations with Gamma distributed moments of
           impulses and p-moment exponential stability
    • Authors: R. AGARWAL; S. HRISTOVA; P. KOPANOV; D. O'Regan
      Pages: 985 - 997
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): R. AGARWAL, S. HRISTOVA, P. KOPANOV, D. O'Regan
      Differential equations with impulses at random moments are set up and investigated. We study the case of Gamma distributed random moments of impulses. Several properties of solutions are studied based on properties of Gammma distributions. Some sufficient conditions for p-moment exponential stability of the solutions are given.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30053-x
       
  • Orbital stability of periodic traveling wave solutions to the generalized
           zakharov equations
    • Authors: Xiaoxiao ZHENG; Yadong SHANG; Xiaoming PENG
      Pages: 998 - 1018
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Xiaoxiao ZHENG, Yadong SHANG, Xiaoming PENG
      This paper investigates the orbital stability of periodic traveling wave solutions to the generalized Zakharov equations { i u t + u x x = u v + u 2 u , v t t - v x x = ( u 2 ) x x . First, we prove the existence of a smooth curve of positive traveling wave solutions of dnoidal type with a fixed fundamental period L for the generalized Zakharov equations. Then, by using the classical method proposed by Benjamin, Bona et al., we show that this solution is orbitally stable by perturbations with period L. The results on the orbital stability of periodic traveling wave solutions for the generalized Zakharov equations in this paper can be regarded as a perfect extension of the results of [15, 16, 19].

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30054-1
       
  • Conditional expectations and martingales in noncommutative Lp-spaces
           associated with center-valued traces
    • Authors: Inomjon GANIEV; Farrukh MUKHAMEDOV
      Pages: 1019 - 1032
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Inomjon GANIEV, Farrukh MUKHAMEDOV
      In this paper we prove the existence of conditional expectations in the noncommutative L p (M,Φ)-spaces associated with center-valued traces. Moreover, their description is also provided. As an application of the obtained results, we establish the norm convergence of weighted averages of martingales in noncommutative L p (M,Φ)-spaces.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30055-3
       
  • Local regularity criteria of a suitable weak solution to MHD equations
    • Authors: Jae-Myoung KIM
      Pages: 1033 - 1047
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Jae-Myoung KIM
      We present a regularity condition of a suitable weak solution to the MHD equations in three dimensional space with slip boundary conditions for a velocity and magnetic vector fields. More precisely, we prove a suitable weak solution are Hölder continuous near boundary provided that the scaled mixed Lp,q x,t -norm of the velocity vector field with 3/p+2q ≤ 2, 2 < q < ∞ is sufficiently small near the boundary. Also, we will investigate that for this solution u ɛ Lp,q x,t with 1 ≤ 3 p + 2 p ≤ 3 2 , 3 < p < ∞ , the Hausdorff dimension of its singular set is no greater than max {p,q} ( 3 p + 2 p - 1 ) .

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30056-5
       
  • Analysis of an elasto-piezoelectric system of hemivariational inequalities
           with thermal effects
    • Authors: Paweł SZAFRANIEC
      Pages: 1048 - 1060
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Paweł SZAFRANIEC
      In this paper we prove the existence and uniqueness of a weak solution for a dynamic electo-viscoelastic problem that describes a contact between a body and a foundation. We assume the body is made from thermoviscoelastic material and consider nonmonotone boundary conditions for the contact. We use recent results from the theory of hemivariational inequalities and the fixed point theory.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30057-7
       
  • Sharp well-posedness of the cauchy problem for the higher-order dispersive
           equation
    • Authors: Minjie JIANG; Wei YAN; Yimin ZHANG
      Pages: 1061 - 1082
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Minjie JIANG, Wei YAN, Yimin ZHANG
      This current paper is devoted to the Cauchy problem for higher order dispersive equation u t + ∂ x 2 n + 1 u = ∂ x ( u ∂ x n u ) + ∂ x n - 1 ( u x 2 ) ,   n ≥ 2 , n ∈ N + . By using Besov-type spaces, we prove that the associated problem is locally well-posed in H ( - n 2 + 3 4 , - 1 2 n ) ( R ) . The new ingredient is that we establish some new dyadic bilinear estimates. When n is even, we also prove that the associated equation is ill-posed in H ( s , a ) ( R ) with s < - n 2 + 3 4 and all a ∈ R .

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30058-9
       
  • Duality of weighted multiparameter Triebel-Lizorkin spaces
    • Authors: Wei DING; Yueping ZHU
      Pages: 1083 - 1104
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Wei DING, Yueping ZHU
      In this paper, we reintroduce the weighted multi-parameter Triebel-Lizorkin spaces F ˙ p α , q ( ω ; R n 1 × R n 2 ) based on the Frazier and Jawerth' method in [11]. This space was firstly introduced in [18]. Then we establish its dual space and get that ( F ˙ p α , q ) * = CMO p - α , q ' for 0 < p ≤ 1.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30059-0
       
  • Legendre spectral collocation method for volterra-hammerstein integral
           equation of the second kind
    • Authors: Yunxia WEI; Yanping CHEN
      Pages: 1105 - 1114
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Yunxia WEI, Yanping CHEN
      This paper is concerned with obtaining theapproximate solution for Volterra-Hammerstein integral equation with a regular kernel. We choose the Gauss points associated with the Legendre weight function ω(x)=1 as the collocation points. The Legendre collocation discretization is proposed for Volterra-Hammerstein integral equation. We provide an error analysis which justifies that the errors of approximate solution decay exponentially in L2 norm and L∞ norm. We give two numerical examples in order to illustrate the validity of the proposed Legendre spectral collocation method.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30060-7
       
  • Gevrey regularity with weight for incompressible euler equation in the
           half plane
    • Authors: Feng CHENG; Wei-Xi LI; Chao-Jiang XU
      Pages: 1115 - 1132
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Feng CHENG, Wei-Xi LI, Chao-Jiang XU
      In this work we prove the weighted Gevrey regularity of solutions to the incompressible Euler equation with initial data decaying polynomially at infinity. This is motivated by the well-posedness problem of vertical boundary layer equation for fast rotating fluid. The method presented here is based on the basic weighted L 2-estimate, and the main difficulty arises from the estimate on the pressure term due to the appearance of weight function.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30061-9
       
  • Optimality conditions and duality results for nonsmooth vector
           optimization problems with the multiple interval-valued objective function
           
    • Authors: Tadeusz ANTCZAK
      Pages: 1133 - 1150
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Tadeusz ANTCZAK
      In this paper, both Fritz John and Karush-Kuhn-Tucker necessary optimality conditions are established for a (weakly) LU-efficient solution in the considered nonsmooth multiobjective programming problem with the multiple interval-objective function. Further, the sufficient optimality conditions for a (weakly) LU-efficient solution and several duality results in Mond-Weir sense are proved under assumptions that the functions constituting the considered nondifferentiable multiobjective programming problem with the multiple interval-objective function are convex.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30062-0
       
  • Möbius-toda hierarchy and its integrability
    • Authors: Chuanzhong LI
      Pages: 1151 - 1161
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Chuanzhong LI
      In this paper, we construct a new integrable equation called Möbius-Toda equation which is a generalization of q-Toda equation. Meanwhile its soliton solutions are constructed to show its integrable property. Further the Lax pairs of the Möbius-Toda equation and a whole integrable Möbius-Toda hierarchy are also constructed. To show the integrability, the bi-Hamiltonian structure and tau symmetry of the Möbius-Toda hierarchy are given and this leads to the existence of the tau function.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30063-2
       
  • On the first eigenvalue of the mean finsler-laplacian
    • Authors: Qun HE; Fanqi ZENG; Daxiao ZENG
      Pages: 1162 - 1172
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Qun HE, Fanqi ZENG, Daxiao ZENG
      In this paper, we prove that several different definitions of the Finsler-Laplacian are equivalent. Then we prove that any Berwald metric is affinely equivalent to its mean metric and give some upper or lower bound estimates for the first eigenvalue of the mean Laplacian on Berwald manifolds, which generalize some results in Riemannian geometry.

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30064-4
       
  • Erratum to: least squares estimation for Ornstein-Uhlenbeck processes
           driven by the weighted fractional brownian motion (Acta Mathematica
           Scientia 2016,36B(2):394-408)
    • Authors: Guangjun SHEN; Xiuwei YIN; Litan YAN
      Pages: 1173 - 1176
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Guangjun SHEN, Xiuwei YIN, Litan YAN
      We give a correction of Theorem 2.2 of Shen, Yin and Yan (2016).

      PubDate: 2017-06-05T12:26:35Z
      DOI: 10.1016/s0252-9602(17)30065-6
       
  • Global weak solutions to one-dimensional compressible viscous hydrodynamic
           equations
    • Authors: Boling GUO; Xiaoyu XI
      Pages: 573 - 583
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Boling GUO, Xiaoyu XI
      In this article, we are concerned with the global weak solutions to the 1D compressible viscous hydrodynamic equations with dispersion correction δ2 ρ((φ(ρ))xxφ′(ρ)x with φ(ρ)=ρα. The model consists of viscous stabilizations because of quantum Fokker-Planck operator in the Wigner equation and is supplemented with periodic boundary and initial conditions. The diffusion term ɛuxx in the momentum equation may be interpreted as a classical conservative friction term because of particle interactions. We extend the existence result in [ 1 ] ( α = 1 2 ) to   0 < α ≤ 1. In addition, we perform the limit ɛ→ 0 with respect to 0 < α ≤ ½.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30023-1
       
  • A nonconforming quadrilateral finite element approximation to nonlinear
           schrödinger equation
    • Authors: Dongyang SHI; Xin LIAO; Lele WANG
      Pages: 584 - 592
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Dongyang SHI, Xin LIAO, Lele WANG
      In this article, a nonconforming quadrilateral element (named modified quasi-Wilson element) is applied to solve the nonlinear schrödinger equation (NLSE). On the basis of a special character of this element, that is, its consistency error is of order O(h 3) for broken H 1-norm on arbitrary quadrilateral meshes, which is two order higher than its interpolation error, the optimal order error estimate and superclose property are obtained. Moreover, the global superconvergence result is deduced with the help of interpolation postprocessing technique. Finally, some numerical results are provided to verify the theoretical analysis.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30024-3
       
  • Sign-changing solutions for p-biharmonic equations with Hardy potential in
           ℝN
    • Authors: Ruirui YANG; Wei ZHANG; Xiangqing LIU
      Pages: 593 - 606
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Ruirui YANG, Wei ZHANG, Xiangqing LIU
      In this article, by using the method of invariant sets of descending flow, we obtain the existence of sign-changing solutions of p-biharmonic equations with Hardy potential in ℝN.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30025-5
       
  • Refinements of transformation inequalities for zero-balanced
           hypergeometric functions
    • Authors: Miaokun WANG; Yuming CHU
      Pages: 607 - 622
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Miaokun WANG, Yuming CHU
      In the article, we present some refinements of three classes of transformation inequalities for zero-balanced hypergeometric functions by use of the updated monotonicity criterion for the quotient of power series.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30026-7
       
  • Normal family of meromorphic functions sharing holomorphic functions and
           the converse of the bloch principle
    • Authors: Nguyen Van THIN
      Pages: 623 - 656
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Nguyen Van THIN
      In 1996, C. C. Yang and P. C. Hu [8] showed that: Let f be a transcendental meromorphic function on the complex plane, and a ≠ 0 be a complex number; then assume that n ≥ 2, n 1, …,n k are nonnegative integers such that n 1 + ⋯ + n k ≥ 1 ; thus f n ( f ′ ) n 1 ⋯ ( f ( k ) ) n k − a has infinitely zeros. The aim of this article is to study the value distribution of differential polynomial, which is an extension of the result of Yang and Hu for small function and all zeros of f having multiplicity at least k ≥ 2. Namely, we prove that f n ( f ′ ) n 1 ⋯ ( f ( k ) ) n k − a ( z ) has infinitely zeros, where f is a transcendental meromorphic function on the complex plane whose all zeros have multiplicity at least k ≥ 2, and a(z) ≡ 0 is a small function of f and n ≥ 2, n 1,…,n k are nonnegative integers satisfying n 1+…+ n k ≥ 1. Using it, we establish some normality criterias for a family of meromorphic functions under a condition where differential polynomials generated by the members of the family share a holomorphic function with zero points. The results of this article are supplement of some problems studied by J. Yunbo and G. Zongsheng [6], and extension of some problems studied X. Wu and Y. Xu [10]. The main result of this article also leads to a counterexample to the converse of Bloch's principle.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30027-9
       
  • Self-similar solutions to the hyperbolic mean curvature flow
    • Authors: Chunlei HE; Shoujun HUANG; Xiaomin XING
      Pages: 657 - 667
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Chunlei HE, Shoujun HUANG, Xiaomin XING
      This article concerns the self-similar solutions to the hyperbolic mean curvature flow (HMCF) for plane curves, which is proposed by Kong, Liu, and Wang and relates to an earlier proposal for general flows by LeFloch and Smoczyk. We prove that all curves immersed in the plane which move in a self-similar manner under the HMCF are straight lines and circles. Moreover, it is found that a circle can either expand to a larger one and then converge to a point, or shrink directly and converge to a point, where the curvature approaches to infinity.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30028-0
       
  • Characterization of derivations on B(X) by local actions
    • Authors: Tianjiao XUE; Runling AN; Jinchuan HOU
      Pages: 668 - 678
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Tianjiao XUE, Runling AN, Jinchuan HOU
      Let A be a unital algebra and M be a unital A -bimodule. A linear map δ: A → M is said to be Jordan derivable at a nontrivial idempotent P ∈ A if δ ( A ) ∘ B + A ∘ δ ( B ) = δ ( A ∘ B ) for any A , B ∈ A with A ○ B= P, here A ○ B = AB + BA is the usual Jordan product. In this article, we show that if A = A lg N is a Hilbert space nest algebra and M = B ( H ) , or A = M = B ( X ) , then, a linear map δ   :   A → M is Jordan derivable at a nontrivial projection P ∈ N or an arbitrary but fixed nontrivial idempotent P ∈ B ( X ) if and only if it is a derivation. New equivalent characterization of derivations on these operator algebras was obtained.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30029-2
       
  • Life-span of classical solutions to hyperbolic geometry flow equation in
           several space dimensions
    • Authors: Dexing KONG; Qi LIU; Changming SONG
      Pages: 679 - 694
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Dexing KONG, Qi LIU, Changming SONG
      In this article, we investigate the lower bound of life-span of classical solutions of the hyperbolic geometry flow equations in several space dimensions with “small” initial data. We first present some estimates on solutions of linear wave equations in several space variables. Then, we derive a lower bound of the life-span of the classical solutions to the equations with “small” initial data.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30030-9
       
  • Distributions on almost contact manifolds
    • Authors: Hyunjoo CHO
      Pages: 695 - 702
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Hyunjoo CHO
      It is known that any hypersurface in an almost complex space admits an almost contact manifold [11, 14]. In this article we show that a hyperplane in an almost contact manifold has an almost complex structure. Along with this result, we explain how to determine when an almost contact structure induces a contact structure, followed by examples of a manifold with a closed G 2-structure.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30031-0
       
  • An efficient parallel processing optimal control scheme for a class of
           nonlinear composite systems
    • Authors: A. JAJARMI; M. HAJIPOUR
      Pages: 703 - 721
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): A. JAJARMI, M. HAJIPOUR
      This article presents an efficient parallel processing approach for solving the optimal control problem of nonlinear composite systems. In this approach, the original high-order coupled nonlinear two-point boundary value problem (TPBVP) derived from the Pontryagin's maximum principle is first transformed into a sequence of lower-order decoupled linear time-invariant TPBVPs. Then, an optimal control law which consists of both feedback and forward terms is achieved by using the modal series method for the derived sequence. The feedback term specified by local states of each subsystem is determined by solving a matrix Riccati differential equation. The forward term for each subsystem derived from its local information is an infinite sum of adjoint vectors. The convergence analysis and parallel processing capability of the proposed approach are also provided. To achieve an accurate feedforward-feedback suboptimal control, we apply a fast iterative algorithm with low computational effort. Finally, some comparative results are included to illustrate the effectiveness of the proposed approach.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30032-2
       
  • Fekete and Szegö inequality for a subclass of starlike mappings of order
           α on the bounded starlike circular domain in ℂn
    • Authors: Taishun LIU; Qinghua XU
      Pages: 722 - 731
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Taishun LIU, Qinghua XU
      In this article, first, we establish the Fekete and Szegö inequality for an interesting subclass of biholomorphic functions in the open unit disk U . Second, we generalize this result to the bounded starlike circular domain in ℂn. The proofs of these results use some restrictive assumptions, which in the case of one complex variable are automatically satisfied.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30033-4
       
  • On subsonic and subsonic-sonic flows in the infinity long nozzle with
           general conservatives force
    • Authors: Xumin GU; Tian-Yi WANG
      Pages: 752 - 767
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Xumin GU, Tian-Yi WANG
      In this article, we study irrotational subsonic and subsonic-sonic flows with general conservative forces in the infinity long nozzle. For the subsonic case, the varified Bernoulli law leads a modified cut-off system. Because of the local average estimate, conservative forces do not need any decay condition. Afterwards, the subsonic-sonic limit solutions are constructed by taking the extract subsonic solutions as the approximate sequences.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30035-8
       
  • Improve efficiency of biogas feedback supply chain in rural china
    • Authors: Xiaojing JIA; Ren'an JIA
      Pages: 768 - 785
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Xiaojing JIA, Ren'an JIA
      Feedback supply chain is a key structure in the supply chain system, and the development of feedback supply chain for biogas biomass energy is one of the important ways of the rural ecological civilization construction. Presently, the efficiency problem of biogas supply chain in rural China has been restricting the development of biogas biomass energy business. This article, on the basis of combination of regulation parameters, describes the dynamic changes in the system, using differential equations integrated with simulation to reveal the rules of regulation parameters to investigate the efficiency problem in the biogas supply chain. First of all, on the basis of the actual situation, the flow level and flow rate system structure model and simulation equation set are established for the biogas energy feedback supply chain from a scale livestock farm to peasant households; On the basis of the differentiability of the simulation equation a third order inhomogeneous differential equation with constant coefficients containing regulative parameters is established for the quantity of biogas stored in the feedback supply chain. A theorem and its corollaries are established for the operating efficiency of supply chain to reveal the change law of the quantity of biogas, the quantity of biogas consumed daily by peasant households and its standard-reaching rate as well as other variables.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30036-x
       
  • Entire functions sharing one small function CM with their shifts and
           difference operators
    • Authors: Ning CUI; Zong-Xuan CHEN
      Pages: 786 - 798
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Ning CUI, Zong-Xuan CHEN
      In this article, we mainly devote to proving uniqueness results for entire functions sharing one small function CM with their shift and difference operator simultaneously. Let f(z) be a nonconstant entire function of finite order, c be a nonzero finite complex constant, and n be a positive integer. If f(z), f(z+c), and Δ c n f ( z ) share 0 CM, then f(z + c)≡ Af(z), where A(≠ 0) is a complex constant. Moreover, let a(z), b(z)(≢ 0) ∈ S(f) be periodic entire functions with period f ( z ) − a ( z ) ,     f ( z + c ) − a ( z ) ,     Δ c n f ( z ) − b ( z ) share 0 CM, then f(z + c) ≡ f(z).

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30037-1
       
  • Outer operators for the noncommutative symmetric hardy spaces associated
           with finite subdiagonal algebra
    • Authors: Kanat S. TULENOV; Madi RAIKHAN
      Pages: 799 - 805
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Kanat S. TULENOV, Madi RAIKHAN
      In this article, we extended main results on outer operators of [6] to the symmetric Hardy spaces, when associated subdiagonal algebra is finite.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30038-3
       
  • Large time behavior of solutions to 1-dimensional bipolar quantum
           hydrodynamic model for semiconductors
    • Authors: Xing LI; Yan YONG
      Pages: 806 - 835
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Xing LI, Yan YONG
      In this article, we study the 1-dimensional bipolar quantum hydrodynamic model for semiconductors in the form of Euler-Poisson equations, which contains dispersive terms with third order derivations. We deal with this kind of model in one dimensional case for general perturbations by constructing some correction functions to delete the gaps between the original solutions and the diffusion waves in L 2-space, and by using a key inequality we prove the stability of diffusion waves. As the same time, the convergence rates are also obtained.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30039-5
       
  • Nonexistence and symmetry of solutions to some fractional laplacian
           equations in the upper half space
    • Authors: Yanyan GUO
      Pages: 836 - 851
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Yanyan GUO
      In this article, we consider the fractional Laplacian equation { ( − Δ ) α / 2 u = K ( x ) f ( u ) , x ∈ ℝ + n , u ≡ 0 , x ∉ ℝ + n , where 0 < α < 2 , ℝ + n : = { x = ( x 1 , x 2 , ⋯ , x n ) x n > 0 } . When K is strictly decreasing with respect to x′ , the symmetry of positive solutions is proved, where x′=(x 1,x 2,ċċċ,x n−1) ∈ ℝ n − 1 . When K is strictly increasing with respect to x n or only depend on x n, the nonexistence of positive solutions is obtained.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30040-1
       
  • The Fokas-Lenells equation on the finite interval
    • Authors: Yu XIAO; Engui FAN; Jian XU
      Pages: 852 - 876
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Yu XIAO, Engui FAN, Jian XU
      Using the Fokas unified method, we consider the initial boundary value problem for the Fokas-Lenells equation on the finite interval. We present that the Neumann boundary data can be explicitly expressed by Dirichlet boundary conditions prescribed, and extend the idea of the linearizable boundary conditions for equations on the half line to Fokas-Lenells equation on the finite interval.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30041-3
       
  • Multiplicative perturbations of local α-times integrated C-semigroups
    • Authors: Nai-Sher YEH; Chung-Cheng KUO
      Pages: 877 - 888
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Nai-Sher YEH, Chung-Cheng KUO
      We establish some left and right multiplicative perturbations of a local α-times integrated C-semigroup S(ċ) on a complex Banach space X with non-densely defined generator, which can be applied to obtain some additive perturbation results concerning S(ċ). Some growth conditions of the perturbations of S(ċ) are also established.

      PubDate: 2017-04-30T06:27:59Z
      DOI: 10.1016/s0252-9602(17)30042-5
       
  • On the fourier-vilenkin coefficients
    • Authors: Martin G. GRIGORYAN; Stepan SARGSYAN
      Pages: 293 - 300
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Martin G. GRIGORYAN, Stepan SARGSYAN
      In this article, we prove the following statement that is true for both unbounded and bounded Vilenkin systems: for any ε ∈ (0,1), there exists a measurable set E ⊂ [0,1) of measure bigger than 1 — ε such that for any function f ∈ L1 [0,1), it is possible to find a function g ∈ L1 [0,1) coinciding with f on E and the absolute values of non zero Fourier coefficients of g with respect to the Vilenkin system are monotonically decreasing.

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

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

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

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

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

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

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

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

      PubDate: 2017-03-05T16:27:55Z
      DOI: 10.1016/s0252-9602(17)30011-5
       
  • On the global existence of smooth solutions to the multi-dimensional
           compressible euler equations with time-depending damping in half space
    • Authors: Fei HOU
      Abstract: Publication date: July 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 4
      Author(s): Fei HOU
      This paper is a continue work of [4,5]. In the previous two papers, we studied the Cauchy problem of the multi-dimensional compressible Euler equations with time-depending damping term - μ ( 1 + t ) λ ρ u , where λ≥0 and μ > 0 are constants. We have showed that, for all λ≥0 and μ>0, the smooth solution to the Cauchy problem exists globally or blows up in finite time. In the present paper, instead of the Cauchy problem we consider the initial-boundary value problem in the half space ℝd + with space dimension d = 2,3. With the help of the special structure of the equations and the fluid vorticity, we overcome the difficulty arisen from the boundary effect. We prove that there exists a global smooth solution for 0 ≤ λ <1 when the initial data is close to its equilibrium state. In addition, exponential decay of the fluid vorticity will also be established.

      PubDate: 2017-06-05T12:26:35Z
       
  • Meromorphic solutions of some types of complex differential-difference
           equations
    • Authors: Yue WANG
      Abstract: Publication date: May 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 3
      Author(s): Yue WANG
      Using Nevanlinna theory of the value distribution of meromorphic functions, we investigate the problem of the existence of meromorphic solutions of some types of complex differential-difference equations and some properties of meromorphic solutions, and we obtain some results, which are the improvements and extensions of some results in references. Examples show that our results are precise.

      PubDate: 2017-04-30T06:27:59Z
       
  • Global regularity to the 2D incompressible MHD with mixed partial
           dissipation and magnetic diffusion in a bounded domain
    • Authors: Haibo
      Abstract: Publication date: March 2017
      Source:Acta Mathematica Scientia, Volume 37, Issue 2
      Author(s): Haibo YU
      This article considers the global regularity to the initial-boundary value problem for the 2D incompressible MHD with mixed partial dissipation and magnetic diffusion. To overcome the difficulty caused by the vanishing viscosities, we first establish the elliptic system for U x and b y, which are estimated by ∇ × ux and ∇ × by , respectively. Then, we establish the global estimates for ∇ × u and ∇ × b.

      PubDate: 2017-03-05T16:27:55Z
       
 
 
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