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Stability of retarded systems with slowly varying coefficient

Published online by Cambridge University Press:  27 September 2011

Michael Iosif Gil
Michael Iosif Gil*
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, 84105 Beer-Sheva, Israel. gilmi@bezeqint.net
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Abstract

The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

Keywords

Linear retarded systemsstabilitygeneralized Bohl-Perron principle
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 18 , Issue 3 , July 2012 , pp. 877 - 888
Copyright
© EDP Sciences, SMAI, 2011

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