On exponential stability of a linear delay differential equation with an oscillating coefficient

被引：51

作者：

Berezansky, Leonid ^{[2
]}

Braverman, Elena ^{[1
]}

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 12期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Delay equations; Exponential stability; Oscillating coefficient; Bohl-Perron type theorem; SYSTEMS;

D O I：

10.1016/j.aml.2009.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

New explicit exponential stability conditions are obtained for the nonautonomous linear equation (x)over dot(t) + a(t)x(h(t)) = 0, where h(t) <= t and a(t) is an oscillating function. We apply the comparison method based on the Bohl-Perron type theorem. Coefficients and delays are not assumed to be continuous. Some real-world applications and several examples are also discussed. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1833 / 1837

页数：5

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