Stability of the solutions of impulsive functional-differential equations by Lyapunov's direct method

被引：8

作者：

Bainov, DD

Stamova, IM

机构：

[1] Med Univ Sofia, Sofia 1504, Bulgaria

[2] Tech Univ, Sliven, Bulgaria

来源：

ANZIAM JOURNAL | 2001年 / 43卷

关键词：

D O I：

10.1017/S1446181100013067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the stability of the zero solution of a system of impulsive functional-differential equations. By means of piecewise continuous functions, which are generalizations of classical Lyapunov functions, and using a technique due to Razumikhin, sufficient conditions are found for stability, uniform stability and asymptotical stability of the zero solution of these equations. Applications to impulsive population dynamics are also discussed.

引用

页码：269 / 278

页数：10

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