H. Walther, A. L. Skubachevskii, “On the Hyperbolicity of Rapidly Oscillating Periodic Solutions of Functional Differential Equations”, Funktsional. Anal. i Prilozhen., 2005, Volume 39, Issue 1,Pages <nobr>82

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Brief communications

On the Hyperbolicity of Rapidly Oscillating Periodic Solutions of Functional Differential Equations

H.-O. Walther^a, A. L. Skubachevskii^b

^a Justus Liebig Universität Giessen
^b Moscow Aviation Institute

Abstract: We consider periodic solutions of nonlinear functional differential equations with rational periods less than $2$. We study the spectral properties of monodromy operators and state a hyperbolicity criterion for such solutions.

Keywords: functional differential equations, periodic solutions, hyperbolicity.

UDC: 517.929

Received: 28.06.2004

DOI: 10.4213/faa33