Electron. J. Diff. Equ.,
Vol. 2010(2010), No. 99, pp. 15.
Stability of delay differential equations with
oscillating coefficients
Michael I. Gil'
Abstract:
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 3/2stability 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, BeerSheva 84105, Israel
email: gilmi@cs.bgu.ac.il

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