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).

引用

页码：173 / 193

页数：21

共 20 条

[1] OSCILLATORY AND PERIODIC-SOLUTIONS OF DELAY DIFFERENTIAL-EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT [J].