On Stability of Linear Delay Differential Equations under Perron's Condition-Reference-Cited by-同舟云学术

On Stability of Linear Delay Differential Equations under Perron's Condition

Published:2011 Issue: Volume:2011 Page:1-9
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Diblík J.¹²,Zafer A.³

Affiliation:

1. Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Brno 602 00, Czech Republic

2. Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Brno 616 00, Czech Republic

3. Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey

Abstract

The stability of the zero solution of a system of first-order linear functional differential equations with nonconstant delay is considered. Sufficient conditions for stability, uniform stability, asymptotic stability, and uniform asymptotic stability are established.

Funder

Czech Grant Agency

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/134072.pdf

Reference7 articles.

1. Die Stabilit�tsfrage bei Differentialgleichungen

2. On an Application of a Banach-Steinhaus Theorem to the Study of the Boundedness of Solutions of Non-Linear Differential and Difference Equations

3. A Perron-like stability criterion for linear systems

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