Michael I. Gil'
Abstract:
We consider the linear differential equation
where
,
are continuous bounded functions.
Assuming that all the roots of the polynomial
are real and satisfy the inequality
for
and
,
we prove that the solutions of the above equation satisfy
for
.
Submitted December 27, 2007. Published April 15, 2008.
Math Subject Classifications: 34A30, 34D20.
Key Words: Linear differential equations; Liapunov exponents;
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 Email: gilmi@cs.bgu.ac.il |
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