Michael I. Gil'
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
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