Some properties of pseudo-almost automorphic functions and applications to abstract differential equations

被引：67

作者：

Liang, Jin ^{[2
,4
]}

N'Guerekata, Gaston M. ^{[3
]}

Xiao, Ti-Jun ^{[1
,4
]}

Zhang, Jun ^{[4
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

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

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 07期

关键词：

Almost automorphic; Pseudo-almost automorphic; Composition; C-0-semigroup of contractions; Abstract equation; Mild solution;

D O I：

10.1016/j.na.2008.03.061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with some properties of pseudo-almost automorphic functions, which are more general and complicated than pseudo-almost periodic functions. Using these properties, we establish an existence and uniqueness theorem for pseudo-almost automorphic mild solutions to semilinear differential equations in a Banach space, (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2731 / 2735

页数：5

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