Stability conditions for scalar delay differential equations with a non-delay term

被引：4

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：

APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 250卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Linear and nonlinear delay differential equations; Global asymptotic stability; Mackey-Glass equation of respiratory dynamics; EXPONENTIAL STABILITY;

D O I：

10.1016/j.amc.2014.10.088

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem considered in the paper is exponential stability of linear equations and global attractivity of nonlinear non-autonomous equations which include a non-delay term and one or more delayed terms. First, we demonstrate that introducing a non-delay term with a non-negative coefficient can destroy stability of the delay equation. Next, sufficient exponential stability conditions for linear equations with concentrated or distributed delays and global attractivity conditions for nonlinear equations are obtained. The nonlinear results are applied to the Mackey-Glass model of respiratory dynamics. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：157 / 164

页数：8

共 24 条

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