摘要
讨论了具有无限时滞的中立型微分积分方程的指数稳定问题,利用常数变异法获得了判定该类方程的零解指数稳定和全局指数稳定的充分条件,实例说明该文的结果较李亚谱诺夫方法更具广泛性和实用性。
This paper deals with the exponential asymptotic stability of neutral integro-differential equations with infinite delays, and some criteria are given for the exponential asymptotic stability by using the method of variation of paramefers. The results obtained here are illustrated by a example which has been particularly difficult to treat by means of the standard Lyapunov theory.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
2004年第5期608-610,共3页
Journal of University of Electronic Science and Technology of China
基金
国家自然科学基金资助项目(10371083)
关键词
无穷时滞
微分积分方程
中立型
指数稳定性
infinite delays
integro-differential equations
neutral
exponential asymptotic stability exponential
