On quasi-periodic solutions of differential equations with piecewise constant argument

被引：29
|
作者：
Küpper, T
Yuan, R
机构：
[1] Univ Cologne, Inst Math, D-50931 Cologne, Germany
[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 267卷 / 01期
基金：
中国国家自然科学基金;
关键词：
quasi-periodic solutions; quasi-periodic sequences; piecewise constant argument;
D O I：
10.1006/jmaa.2001.7761
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the existence of quasi-periodic solutions to differential equations with piecewise constant argument (EPCA, for short). It is shown that EPCA with periodic perturbations possess a quasi-periodic solution and no periodic solution. The appearance of quasi-periodic rather than periodic solutions is due to the piecewise constant argument. This new phenomenon illustrates a crucial difference between ODE and EPCA. The results are extended to nonlinear equations. (C) 2002 Elsevier Science (USA).
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页码：173 / 193
页数：21
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