STABILITY CRITERIA FOR A CLASS OF LINEAR DIFFERENTIAL EQUATIONS WITH OFF-DIAGONAL DELAYS

被引：9

作者：

Suzuki, Masakatsu ^{[1
]}

Matsunaga, Hideaki ^{[1
]}

机构：

[1] Osaka Prefecture Univ, Dept Math Sci, Sakai, Osaka 5998531, Japan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2009年 / 24卷 / 04期

关键词：

Delay differential equations; Asymptotic stability; Off-diagonal delays; Characteristic equation; BIFURCATION; SYSTEMS;

D O I：

10.3934/dcds.2009.24.1381

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a linear differential equation with off-diagonal delays. Some necessary and sufficient conditions are established for the zero solution of the equation to be asymptotically stable by means of root-analysis for its associated characteristic equation. Examples are also presented to illustrate the main result.

引用

页码：1381 / 1391

页数：11

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