Second method of Lyapunov and comparison principle for impulsive differential-difference equations

被引：7

作者：

Bainov, DD ^{[1
]}

Stamova, IM ^{[1
]}

机构：

[1] TECH UNIV,SLIVEN,BULGARIA

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS | 1997年 / 38卷

关键词：

D O I：

10.1017/S0334270000000825

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper questions related to stability and boundedness with respect to manifolds of solutions of impulsive differential-difference equations are considered. The investigations are carried out by means of piecewise-continuous functions which are analogues of the classical Lyapunov's functions. By means of a vectorial comparison equation and differential inequalities for piecewise-continuous functions, theorems are proved on stability and boundedness with respect to manifolds of solutions of impulsive differential-difference equations with impulse effect at fixed moments.

引用

页码：489 / 505

页数：17

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