Upper semicontinuity of the attractor for a second order lattice dynamical system

被引:17
|
作者
Abdallah, AY [1 ]
机构
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
关键词
lattice dynamical system; absorbing set; global attractor; upper semicontinuity;
D O I
10.3934/dcdsb.2005.5.899
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the existence and the upper semicontinuity of the global attractor for a second order lattice dynamical system.
引用
收藏
页码:899 / 916
页数:18
相关论文
共 50 条
  • [31] Long-Time Behavior for Second Order Lattice Dynamical Systems
    Ahmed Y. Abdallah
    Acta Applicandae Mathematicae, 2009, 106 : 47 - 59
  • [32] Global attractor for a class of retarded lattice dynamical systems
    Zhao, Lu
    Zhang, Chengjian
    Li, Dongfang
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 425 (01) : 178 - 193
  • [33] Upper semicontinuity of attractors for lattice systems under singular perturbations
    Zhao, Caidi
    Zhou, Shengfan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (05) : 2149 - 2158
  • [34] A singularly perturbed phase field model with a logarithmic nonlinearity: upper-semicontinuity of the attractor
    Dupaix, C
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (5-6) : 725 - 744
  • [35] A second-order dynamical system for equilibrium problems
    Le Van Vinh
    Van Nam Tran
    Phan Tu Vuong
    NUMERICAL ALGORITHMS, 2022, 91 (01) : 327 - 351
  • [36] Random attractor for second-order stochastic delay lattice sine-Gordon equation
    Li, Xintao
    She, Lianbing
    Shan, Zhenpei
    BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
  • [37] A second-order dynamical system for equilibrium problems
    Le Van Vinh
    Van Nam Tran
    Phan Tu Vuong
    Numerical Algorithms, 2022, 91 : 327 - 351
  • [38] Random attractor for second-order stochastic delay lattice sine-Gordon equation
    Xintao Li
    Lianbing She
    Zhenpei Shan
    Boundary Value Problems, 2021
  • [39] Upper semicontinuity of attractors for small perturbations of Klein-Gordon-Schrödinger lattice system
    Hengyan Li
    Lei Sun
    Advances in Difference Equations, 2014
  • [40] On the attractor and bifurcation of a discrete dynamical system
    Chen, Xian-Qiang
    Zhao, Yi
    Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni, 2002, 41 (05):