Pullback Exponential Attractors for Non-autonomous Lattice Systems

被引：1
作者：
Shengfan Zhou
Xiaoying Han
机构：
[1] Zhejiang Normal University,Department of Mathematics
[2] Auburn University,Department of Mathematics and Statistics
来源：
Journal of Dynamics and Differential Equations | 2012年 / 24卷
关键词：
Pullback exponential attractor; Continuous process; Non-autonomous lattice system; Weighted space of infinite sequences; Time-dependent coupled coefficients;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We first present some sufficient conditions for the existence and the construction of a pullback exponential attractor for the continuous process (non-autonomous dynamical system) on Banach spaces and weighted spaces of infinite sequences. Then we apply our results to study the existence of pullback exponential attractors for first order non-autonomous differential equations and partly dissipative differential equations on infinite lattices with time-dependent coupled coefficients and time-dependent external terms in weighted spaces.
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页码：601 / 631
页数：30
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