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

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页码：362 / 376

页数：15

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