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.
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收藏
页数：10
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