Uniform boundedness and stability criteria in terms of two measures for impulsive integro-differential equations

被引：20

作者：

Fu, XL ^{[1
]}

Liu, XZ ^{[1
]}

机构：

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1999年 / 102卷 / 2-3期

基金：

加拿大自然科学与工程研究理事会;

关键词：

impulsive integro-differential equations; boundedness; stability; Lyapunov functions;

D O I：

10.1016/S0096-3003(98)10037-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

This paper establishes several criteria on uniform boundedness and stability in terms of two measures for impulsive integro-differential equations by the method of Lyapunov functions. The interplay of two different measures and the discontinuities of solutions create additional difficulties in choosing suitable minimal set of functions along which the derivative of the Lyapunov function is estimated. Consequently, very complicated analysis is required in the proof of the theorems. (C) 1999 Elsevier Science Inc. All rights reserved. AMS Classification: 34K20; 34A37.

引用

页码：237 / 255

页数：19