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

Masakatsu Suzuki; Hideaki Matsunaga

doi:10.3934/dcds.2009.24.1381

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2009, Volume 24, Issue 4: 1381-1391. Doi: 10.3934/dcds.2009.24.1381

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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

Received: April 30, 2008

Revised: August 31, 2008

Published: October 2009

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Abstract

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.

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Mathematics Subject Classification: Primary: 34K20; Secondary: 34K25.

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