Stability criteria for a class of linear differential equations with off-diagonal delays

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November 2009, 24(4): 1381-1391. doi: 10.3934/dcds.2009.24.1381

Stability criteria for a class of linear differential equations with off-diagonal delays

Masakatsu Suzuki ^1, and Hideaki Matsunaga ^1,

1.	Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan, Japan

Received May 2008 Revised September 2008 Published May 2009

Abstract
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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.

Keywords: Delay differential equations, Characteristic equation., Off-diagonal delays, Asymptotic stability.

Mathematics Subject Classification: Primary: 34K20; Secondary: 34K2.

Citation: Masakatsu Suzuki, Hideaki Matsunaga. Stability criteria for a class of linear differential equations with off-diagonal delays. Discrete & Continuous Dynamical Systems - A, 2009, 24 (4) : 1381-1391. doi: 10.3934/dcds.2009.24.1381

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