STABILITY UNDER PERSISTENT DISTURBANCES OF IMPULSIVE DIFFERENTIAL-DIFFERENCE EQUATIONS OF NEUTRAL TYPE

被引：19

作者：

BAINOV, DD

COVACHEV, VC

STAMOVA, IM

机构：

[1] BULGARIAN ACAD SCI,INST MATH,BU-1113 SOFIA,BULGARIA

[2] FILIAL TECH UNIV,SLIVERN,BULGARIA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1994年 / 187卷 / 03期

关键词：

D O I：

10.1006/jmaa.1994.1390

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Effective sufficient conditions for stability under persistent disturbances of the zero solution of impulsive systems of differential-difference equations of neutral type are found. The main results are stated in a theorem. In its proof an analogue of Gronwall-Bellman's inequality for piecewise continuous functions is used. As a corollary the existence of a global solution of a system with quadratic nonlinearities is proved for sufficiently small initial data. (C) 1994 Academic Press, Inc.

引用

页码：790 / 808

页数：19