Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations

被引：47

作者：

Stamova, Ivanka M. ^{[1
]}

机构：

[1] Bourgas Free Univ, Dept Math, Burgas 8000, Bulgaria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 325卷 / 01期

关键词：

practical stability; impulsive functional differential equations; vector Lyapunov functions;

D O I：

10.1016/j.jmaa.2006.02.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the practical stability of the solutions of nonlinear impulsive functional differential equations. The obtained results are based on the method of vector Lyapunov functions and on differential inequalities for piecewise continuous functions. Examples are given to illustrate our results. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：612 / 623

页数：12

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