Existence of pseudo-almost automorphic solutions for nonlinear differential equations

被引：0

作者：

Lan Li

Yan Wang

机构：

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

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

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2014年 / 30卷

关键词：

Pseudo-almost automorphic; exponential trichotomy; Leray-Schauder fixed point theorem; 60K25; 90B22;

D O I：

暂无

中图分类号：

学科分类号：

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：11

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[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (04): : 977 - 988
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