STABILITY THEOREM FOR A CLASS OF PERTURBED NONAUTONOMOUS NEUTRAL DIFFERENTIAL EQUATION WITH UNBOUNDED DELAY  

作　　者：Liang Ruixi1, Peng Jun2, Shen Jianhua1,3 (1. Dept. of Math., Hunan Normal University, Changsha 410081 2. Dept. of Math., Central South University, Changsha 410085 3. Dept. of Math., College of Huaihua, Huaihua 418008, Hunan) 

出　　处：《Annals of Differential Equations》2008年第4期400-406,共7页微分方程年刊（英文版）

基　　金：Supported by the NNSF of China (No.10571050);the Key Project of Chinese Ministry ofEducation.

摘　　要：In this paper, we consider a one-dimensional nonautonomous neutral differential equation. We obtain sufficient conditions under which the zero solution to this equation with unbounded delay and perturbation is uniformly asymptotically stable.In this paper, we consider a one-dimensional nonautonomous neutral differential equation. We obtain sufficient conditions under which the zero solution to this equation with unbounded delay and perturbation is uniformly asymptotically stable.

关 键 词：neutral equation uniform stability asymptotic stability unbounded delay 

分 类 号：O175[理学—数学]