Perturbations of dynamic equations

被引：3

作者：

Bohner, M ^{[1
]}

Hering, R ^{[1
]}

机构：

[1] Univ Missouri, Dept Math & Stat, Rolla, MO 65409 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2002年 / 8卷 / 04期

关键词：

time scales; perturbed dynamic equations; periodic dynamic equations;

D O I：

10.1080/1026190290017360

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give conditions on the coefficient matrix for certain perturbed linear dynamic equations on time scales ensuring that there exists a bounded solution (which is explicitly given) to which all other solutions converge, and similarly conditions ensuring a bounded solution from which all other solutions diverge. We also consider periodic time scales and corresponding linear dynamic equations with periodic coefficients and prove similar statements about periodic solutions to which all other solutions converge or from which all other solutions diverge.

引用

页码：295 / 305

页数：11

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