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：
中央高校基本科研业务费专项资金资助; 中国国家自然科学基金;
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
收藏
页码：977 / 988
页数：12
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