Pullback Exponential Attractor for Second Order Nonautonomous Lattice System

被引：2
|
作者：
Zhou, Shengfan [1 ]
Chen, Hong [1 ]
Wang, Zhaojuan [2 ]
机构：
[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[2] Huaiyin Normal Univ, Sch Math Sci, Huaiyin 223300, Peoples R China
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2014年 / 2014卷
基金：
中国国家自然科学基金;
关键词：
DYNAMICAL-SYSTEMS;
D O I：
10.1155/2014/237027
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We first present some sufficient conditions for the existence of a pullback exponential attractor for continuous process on the product space of the weighted spaces of infinite sequences. Then we prove the existence and continuity of a pullback exponential attractor for second order lattice system with time-dependent coupled coefficients in the weighted space of infinite sequences. Moreover, we obtain the upper bound of fractal dimension and attracting rate for the attractor.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] PULLBACK AND FORWARD DYNAMICS OF NONAUTONOMOUS LAPLACIAN LATTICE SYSTEMS ON WEIGHTED SPACES
    Han, Xiaoying
    Kloeden, Peter E.
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (10): : 2909 - 2927
  • [42] Pullback exponential attractor of dynamical systems associated with non-cylindrical problems
    Neyra, Jackeline Huaccha
    Lopez-Lazaro, Heraclio
    Rubio, Obidio
    Takaessu Junior, Carlos R.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 547 (02)
  • [43] PULLBACK ATTRACTOR IN H1 FOR NONAUTONOMOUS STOCHASTIC REACTION-DIFFUSION EQUATIONS ON Rn
    Liu, Linfang
    Fu, Xianlong
    You, Yuncheng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (10): : 3629 - 3651
  • [44] Random exponential attractor for second order non-autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces
    Haijuan Su
    Shengfan Zhou
    Luyao Wu
    Advances in Difference Equations, 2019
  • [45] Random exponential attractor for second order non-autonomous stochastic lattice dynamical systems with multiplicative white noise in weighted spaces
    Su, Haijuan
    Zhou, Shengfan
    Wu, Luyao
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [46] Pullback exponential attractors for nonautonomous equations Part I: Semi linear parabolic problems
    Czaja, Radoslaw
    Efendiev, Messoud
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 748 - 765
  • [47] Pullback Exponential Attractors for Nonautonomous Klein-Gordon-Schrodinger Equations on Infinite Lattices
    Li, Chunqiu
    Zhao, Min
    Zhao, Caidi
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [48] Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampness
    姜金平
    候延仁
    王小霞
    AppliedMathematicsandMechanics(EnglishEdition), 2011, 32 (02) : 151 - 166
  • [49] Pullback Exponential Attractors for Non-autonomous Lattice Systems
    Shengfan Zhou
    Xiaoying Han
    Journal of Dynamics and Differential Equations, 2012, 24 : 601 - 631
  • [50] Pullback attractor of 2D nonautonomous g-Navier-Stokes equations with linear dampness
    Jiang, Jin-ping
    Hou, Yan-ren
    Wang, Xiao-xia
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2011, 32 (02) : 151 - 166
12345