Pseudo-almost automorphic mild solutions to nonautonomous differential equations and applications

被引：90

作者：

Xiao, Ti-Jun ^{[2
]}

Zhu, Xing-Xing ^{[3
]}

Liang, Jin ^{[1
]}

机构：

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

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

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 11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 automorphic; Pseudo-almost automorphic; Bi-almost automorphic functions; Nonautonomous evolution equations; PERIODIC SOLUTIONS; DELAY;

D O I：

10.1016/j.na.2008.08.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new concept of bi-almost automorphic functions and obtain new existence and uniqueness theorems for pseudo-almost automorphic mild solutions to several nonautonomous differential equations. Moreover, two examples are given to illustrate the general theorems. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：4079 / 4085

页数：7

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