Upper semicontinuity of pullback attractors for a nonautonomous viscoelastic equation

被引：5
|
作者：
Qin, Yuming [1 ]
Zhang, Jianpeng [1 ]
Sun, Linlin [1 ]
机构：
[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 223卷
关键词：
Viscoelastic equations; Semiprocess; Upper semicontinuity; Pullback attractor; Pullback absorbing set; Pullback D-asymptotic compactness; WAVE-EQUATION; UNIFORM DECAY; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE; GENERAL DECAY; MEMORY; ENERGY; RATES; BEAM;
D O I：
10.1016/j.amc.2013.08.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with upper semicontinuity of pullback attractors, for a non-autonomous viscoelastic equation with a past history with a nonautonomous perturbation. In particular, under some proper assumptions, we prove that, the pullback attractor {A(epsilon)(t)}(t epsilon R) of Eq. ( 1.1) with epsilon > 0 and the global attractor A of Eq. ( 1.1) with epsilon=0 satisfy lim(s>o+) dist(X) (A(epsilon)(t) A) = 0 for any t epsilon R. (C) 2013 Published by Elsevier Inc.
引用
收藏
页码：362 / 376
页数：15
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