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A Perron-type theorem for nonautonomous delay equations

A Perron-type theorem for nonautonomous delay equations Abstract We show that if the Lyapunov exponents of a linear delay equation x′ = L(t)x t are limits, then the same happens with the exponential growth rates of the solutions to the equation x′ = L(t)x t + f(t, x t) for any sufficiently small perturbation f. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Open Mathematics de Gruyter

A Perron-type theorem for nonautonomous delay equations

Barreira, Luis; Valls, Claudia
Open Mathematics , Volume 11 (7) – Jul 1, 2013
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References (15)

Publisher
de Gruyter
Copyright
Copyright © 2013 by the
ISSN
2391-5455
eISSN
2391-5455
DOI
10.2478/s11533-013-0244-6
Publisher site
See Article on Publisher Site

Abstract

Abstract We show that if the Lyapunov exponents of a linear delay equation x′ = L(t)x t are limits, then the same happens with the exponential growth rates of the solutions to the equation x′ = L(t)x t + f(t, x t) for any sufficiently small perturbation f.

Journal

Open Mathematics – de Gruyter

Published: Jul 1, 2013

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