Periodic solutions of the hybrid system with small parameter

被引：11

作者：

Akhmet, M. U. ^{[1
,2
]}

Buyukadali, C. ^{[1
]}

Ergenc, T. ^{[1
,2
]}

机构：

[1] Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey

[2] Middle E Tech Univ, Inst Appl Math, TR-06531 Ankara, Turkey

来源：

NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2008年 / 2卷 / 02期

关键词：

Quasi linear differential equations; The small parameter; Piecewise constant arguments of generalized type; Periodic solutions; Stability;

D O I：

10.1016/j.nahs.2006.07.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we investigate the existence and stability of the periodic solutions of a quasilinear differential equation with piecewise constant argument. The continuous and differentiable dependence of the solutions on the parameter and the initial value is considered. A new Gronwall-Bellman type lemma is proved. Appropriate examples are constructed. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：532 / 543

页数：12

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