Michael I. Gil'
We study the solutions to the delay differential equation equation
where the coefficient is not necessarily positive. It is proved that this equation is exponentially stable provided that for some positive constant b less than , and the integral is sufficiently small for all . In this case the 3/2-stability theorem is improved.
Submitted April 13, 2010. Published July 22, 2010.
Math Subject Classifications: 34K20.
Key Words: Linear delay differential equation; exponential stability.
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| Michael I. Gil' |
Department of Mathematics
Ben Gurion University of the Negev
P.0. Box 653, Beer-Sheva 84105, Israel
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