RAZUMIKHIN TECHNIQUES IN INFINITE DELAY EQUATIONS

RAZUMIKHIN TECHNIQUES IN INFINITE DELAY

EQUATIONS

作者：张书年;;;

作者机构：Department of Mathematics;Anhui University;Hefei; 来源：中国科学 年：1989 卷：000 期：001 页码：P.38-51 页数：14 中图分类：N 正文语种：CHI

关键词：infinite delay equations uniform stability uniformly asymptotic stability uniform boundedness uniformly ultimate boundedness 摘要：We deal with the infinite delay equation: x’(t) = F(t, x(s); α≤s≤t), t≥t_*, (* )where -∞≤α≤t_*, α could be -∞, F is a Volterra functional determined by t and thevalues of x(s) for α≤s≤t and values in R~n are taken. We establish some theorems on stabilityand on boundedness for equation (*) by applying Razumikhin Techniques withoutimposing F(t,φ) to be bounded for φ bounded. Several examples are given to illustratethe advantages of our results.