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generalized bohl-perron principle

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Stability of retarded systems with slowly varying coefficient
Michael Iosif Gil
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 18 / Issue 3 / July 2012

Published online by Cambridge University Press:

27 September 2011, pp. 877-888

Print publication:

July 2012
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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.