Abstract and Applied Analysis
Volume 2011 (2011), Article ID 134072, 9 pages
http://dx.doi.org/10.1155/2011/134072
Research Article

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

J. Diblík1,2 and A. Zafer3

1Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Brno University of Technology, Brno 602 00, Czech Republic
2Department of Mathematics, Faculty of Electrical Engineering and Communication, Brno University of Technology, Brno 616 00, Czech Republic
3Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey

Received 18 January 2011; Accepted 22 February 2011

Academic Editor: Miroslava Růžičková

Copyright © 2011 J. Diblík and A. Zafer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.