Stability of differential equations with piecewise constant arguments of generalized type

被引：69

作者：

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

机构：

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

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 04期

关键词：

stability; quasilinear systems; piecewise constant argument of generalized type;

D O I：

10.1016/j.na.2006.11.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we continue to consider differential equations with piecewise constant argument of generalized type (EPCAG) [M.U. Akhmet, Integral manifolds of differential equations with piecewise constant argument of generalized type, Nonlinear Anal. TMA 66 (2007) 367-383]. A deviating function of a new form is introduced. The linear and quasilinear systems are under discussion. The structure of the sets of solutions is specified. Necessary and Sufficient conditions for stability of the zero Solution are obtained. Our approach can be fruitfully applied to the investigation of stability, oscillations, controllability and many other problems of EPCAG. Some of the results were announced at The International Conference on Hybrid Systems and Applications, University of Louisiana, Lafayette, 2006. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：794 / 803

页数：10

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