Mild pseudo-almost periodic solutions of nonautonomous semilinear evolution equations

被引：31

作者：

Ding, Hui-Sheng

Liang, Jin

N'Guerekata, Gaston M.

Xiao, Ti-Jun ^{[1
]}

机构：

[1] Univ Sci & Technol, Dept Math, Hefei 230026, Peoples R China

[2] Morgan State Univ, Dept Math, Baltimore, MD 21251 USA

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2007年 / 45卷 / 5-6期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

pseudo-almost periodic; almost periodic; evolution family; precompact; fixed point;

D O I：

10.1016/j.mcm.2006.07.006

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper is concerned with pseudo-almost periodic solutions for the nonautonomous semilinear parabolic evolution equation u'(t) = A (t) u (t) + f (t, u (t)), t is an element of R. A new existence result of mild pseudo-almost periodic solutions for the equation is obtained by using Schauder's fixed point theorem. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：579 / 584

页数：6

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