On stability in terms of two measures for impulsive systems of functional differential equations

被引：26

作者：

Liu, Xinzhi ^{[1
]}

Wang, Qing ^{[1
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 326卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Lyapunov-Razumikhin technique; uniform asymptotical stability; partial stability; impulsive functional differential equation;

D O I：

10.1016/j.jmaa.2006.02.059

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the stability problem for a class of impulsive systems of functional differential equations. By using Lyapunov functions and the Razumikhin technique, several stability criteria in terms of two measures are established. Some examples are worked out to illustrate the theorems. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：252 / 265

页数：14

共 15 条

[1]

[Anonymous], 1989, SYSTEMS IMPULSIVE EF

[2]

Ballinger G, 1999, DYN CONTIN DISCRET I, V5, P579

[3]

FU X, 2002, COMMUN APPL ANAL, V6, P61

[4]

Hale J. K., 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7

[5] On the partial equiasymptotic stability in functional differential equations [J].

Ignatyev, AO .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (02) :615-628

[6] STABILITY-CRITERIA FOR IMPULSIVE DIFFERENTIAL-EQUATIONS IN TERMS OF 2 MEASURES [J].

LAKSHMIKANTHAM, V ;

LIU, XZ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 137 (02) :591-604

[7]

Lakshmikantham V., 1993, STABILITY ANAL TERMS, DOI 10.1142/2018

[8]

Lakshmikantham V., 1989, Series In Modern Applied Mathematics, V6

[9] Uniform asymptotic stability of abstract functional differential equations [J].

Liu, XZ ;

Xu, DY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 216 (02) :626-643

[10] Uniform asymptotic stability of impulsive delay differential equations [J].

Liu, XZ ;

Ballinger, G .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2001, 41 (7-8) :903-915

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