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.

引用

页码：24 / 32

页数：9

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