STABILITY RESULTS FOR IMPULSIVE DIFFERENTIAL-SYSTEMS WITH APPLICATIONS TO POPULATION-GROWTH MODELS

被引：146

作者：

LIU, XZ

机构：

[1] Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo, Waterloo

来源：

DYNAMICS AND STABILITY OF SYSTEMS | 1994年 / 9卷 / 02期

关键词：

D O I：

10.1080/02681119408806175

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper establishes some stability criteria for impulsive differential systems. It is shown that impulses do contribute to yield stability properties even when the corresponding differential system without impulses does not enjoy any stability behavior. As an application, these results are applied to some population growth models.

引用

页码：163 / 174

页数：12

共 5 条

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ERBE, LH ;

FREEDMAN, HI ;

LIU, XZ ;

WU, JH .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, 1991, 32 :382-400

[2]

Freedman H.I., 1987, DETERMINISTIC MATH M

[3] 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

[4]

Lakshmikantham V., 1989, THEORY IMPULSIVE DIF

[5]

LIU XZ, 1990, DIFF EQUAT, P61

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