CONVERGENCES OF ASYMPTOTICALLY AUTONOMOUS PULLBACK ATTRACTORS TOWARDS SEMIGROUP ATTRACTORS

被引：15
作者：
Cui, Hongyong [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2019年 / 24卷 / 08期
关键词：
Asymptotically autonomous dynamical system; pullback attractor; limiting equation; upper semi-continuity; REACTION-DIFFUSION EQUATIONS;
D O I：
10.3934/dcdsb.2018276
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For pullback attractors of asymptotically autonomous dynamical systems we study the convergences of their components towards the global attractors of the limiting semigroups. We use some conditions of uniform boundedness of pullback attractors, instead of uniform compactness conditions used in the literature. Both forward convergence and backward convergence are studied.
引用
收藏
页码：3525 / 3535
页数：11
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