Almost periodic solutions for undamped nonhomogeneous delay-differential equations

被引：1

作者：

Seifert, G ^{[1
]}

机构：

[1] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-01-06279-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first establish a result giving conditions that certain undamped delay differential equations with almost periodic time dependence have unique almost periodic solutions. Using this result we obtain conditions that a second order scalar nonlinear delay differential equation with almost periodic forcing will have a unique almost periodic solution having saddle-type stability properties. These results use the method of averaging.

引用

页码：2001 / 2005

页数：5