On nonoscillation and stability for systems of differential equations with a distributed delay

被引：9

作者：

Berezansky, Leonid ^{[1
]}

Braverman, Elena ^{[2
]}

机构：

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

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

来源：

AUTOMATICA | 2012年 / 48卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Distributed delay; Nonoscillation; Solution estimation; Fundamental matrix; Exponential stability; Linear systems;

D O I：

10.1016/j.automatica.2011.08.062

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For the system with a distributed delay (X) over dot(t) + Sigma(m)(k=1) integral(t)(hk(t))[d(s)R(k)(t, s)]X(s) = 0 and a nonnegative fundamental matrix, solution estimates and stability results are obtained. The results are applied to integro-differential equations and equations of mixed type including both distributed and concentrated delays. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：612 / 618

页数：7

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