Existence of Pseudo-Almost Automorphic Solutions for Nonlinear Differential Equations

被引：0

作者：

Lan LI ^{[1
]}

YAN WANG ^{[2
]}

机构：

[1] College of Mathematics and Computational Science,Shenzhen University

[2] School of Mathematical Sciences,Dalian University of Technology

来源：

Acta Mathematicae Applicatae Sinica | 2014年 / 04期

基金：

中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;

关键词：

Pseudo-almost automorphic; exponential trichotomy; Leray-Schauder fixed point theorem;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper,we discuss the existence of pseudo-almost automorphic solutions to linear differential equation which has an exponential trichotomy,and the results also hold for some nonlinear equations with the form x’(t) = f(t,x(t)) + λg(t,x(t)),where f,g are pseudo-almost automorphic functions.We prove our main result by the application of Leray-Schauder fixed point theorem.

引用

页码：977 / 988

页数：12

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