On the Stability Problem for Functional Differential Equations with Infinite Delay

被引：0
|
作者：
Pavlikov, S. V. [1 ]
机构：
[1] Kama State Engn Econ Acad, Pr Mira 68-19, Naberezhnye Chelny 423810, Russia
来源：
RUSSIAN MATHEMATICS | 2008年 / 52卷 / 07期
基金：
俄罗斯基础研究基金会;
关键词：
functional differential equation; infinite delay; Lyapunov functional of constant sign; limit equations;
D O I：
10.3103/S1066369X08070049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the stability of functional differential equations with infinite delay, using the Lyapunov functional of constant sign with a derivative of constant sign. Limit equations are constructed in a special phase space. We establish a theorem on localization of a positive limit set and theorems on the stability and the asymptotic stability. The results are illustrated by examples.
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页码：24 / 32
页数：9
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