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Abstract and Applied Analysis
Volume 2011 (2011), Article ID 178568, 19 pages
doi:10.1155/2011/178568
New Stability Conditions for Linear Differential Equations with Several Delays
1Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva 84105, Israel
2Department of Mathematics and Statistics, University of Calgary, 2500 University Drive Northwest, Calgary, AB, T2N 1N4, Canada
Received 28 January 2011; Accepted 4 April 2011
Academic Editor: Josef Diblík
Copyright © 2011 Leonid Berezansky and Elena Braverman. 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
New explicit conditions of asymptotic and exponential stability are obtained for the scalar nonautonomous linear delay differential equation with measurable delays and coefficients. These results are compared to known stability tests.