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On the asymptotics of solutions of a class of linear functional-differential equations

Published online by Cambridge University Press:  26 September 2008

G. Derfel  and
F. Vogl
G. Derfel
Affiliation:
Department of Mathematics and Computer Sciences, Ben Gurion University, Beer-Sheva 84105, Israel
F. Vogl
Affiliation:
Institut für Analysis, Technische Mathematik und Versicherungsmathematik, Techniche Universität Wien, A-1040 Wien, Austria
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Abstract

A sharp estimate of the growth of solutions of the initial value problem for systems of the form

where Cj(t) are matrices with elements of power growth, is found. As a corollary of this result, it follows, for instance, that each solution of the initial value problem satisfies the estimate ‖u(t)‖ ≤ Cexp{γln2(1+|t|)} for some C > 0 and γ > 0.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 7 , Issue 5 , October 1996 , pp. 511 - 518
Copyright
Copyright © Cambridge University Press 1996

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