时滞差分方程中Razumikhin型稳定性定理的改进(英文)  

The Improvement of Razumikhin type Stability Theorem in Delay Difference Systems

作　　者：唐三一[1,2] 肖燕妮[1,2] 杨秀香 

机构地区：[1]湖北民族学院计算机与数学系 [2]中国科学院数学研究所 [3]渭南师专数学系

出　　处：《工程数学学报》1999年第1期71-76,共6页Chinese Journal of Engineering Mathematics

摘　　要：本文用Ｌｙａｐｕｎｏｖ函数来研究时滞差分方程解的稳定性，得到了包含经典的Ｒａｚｕｍｉｋｈｉｎ型稳定性定理作为其推论的结果，且避免了求Ｒａｚｕｍｉｋｈｉｎ条件中辅助函数Ｐ的困难。In this paper, by using Lyapunov functions, the uniformly stability and uniformly asymptotically stability of zero solution for delay difference systems are discussed. The results which included the classical Razumikhin type stability theorem in delay difference systems are obtained avoiding a difficult of constructing P function in Razumikhins condition.

关 键 词：时滞差分方程 解 稳定性 差分方程 Razumikhin型 

分 类 号：O241.3[理学—计算数学]