ALMOST PERIODIC SOLUTIONS TO SOME SECOND-ORDER NONAUTONOMOUS DIFFERENTIAL EQUATIONS

被引：0

作者：

Diagana, Toka ^{[1
]}

机构：

[1] Howard Univ, Dept Math, Washington, DC 20059 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2012年 / 140卷 / 01期

关键词：

Schauder fixed point theorem; exponential dichotomy; almost periodic; second-order differential equation; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of almost periodic mild solutions to some second-order equations. Using dichotomy tools and the Schauder fixed point theorem, the existence of almost periodic mild solutions to those second-order evolution equations is established. To illustrate our abstract results, the existence of almost periodic solutions to a damped second-order boundary value problem is also discussed.

引用

页码：279 / 289

页数：11

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