Second order scalar functional differential equations with piecewise constant arguments

被引：12

作者：

Seifert, G ^{[1
]}

机构：

[1] Iowa State Univ Sci & Technol, Ames, IA 50011 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2002年 / 8卷 / 05期

关键词：

functional differential equations; duffing equations; periodic solutions; piecewise constant arguments;

D O I：

10.1080/10236190290017469

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The study of functional differential equations with piecewise constant arguments usually results in a study of certain related difference equations. In this paper we consider certain neutral functional differential equations of this type and the associated difference equations. We give conditions under which such equations with almost periodic time dependence will have unique almost periodic solutions, and for certain autonomous cases, we obtain certain stability results and also conditions for chaotic behavior of solutions. We are particularly concerned with such equations which are partially discretized versions of non-forced Duffing equations.

引用

页码：427 / 445

页数：19