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.
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References
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 39, No. 1, pp. 82–85, 2005
Original Russian Text Copyright © by A. L. Skubachevskii and H.-O. Walther
The first author’s research was supported by the Mercator-Programm of the Deutsche Forschungsgemeinschaft, RFBR grant No. 04-01-00256, and Russian Ministry of Education and Science grant No. E02-1.0-131.
Translated by A. L. Skubachevskii and H.-O. Walther
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Skubachevskii, A.L., Walther, HO. On the hyperbolicity of rapidly oscillating periodic solutions of functional differential equations. Funct Anal Its Appl 39, 68–70 (2005). https://doi.org/10.1007/s10688-005-0018-4
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DOI: https://doi.org/10.1007/s10688-005-0018-4