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2013 Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations
Wenhua Qiu, Jianguo Si
Abstr. Appl. Anal. 2013: 1-9 (2013). DOI: 10.1155/2013/386812

Abstract

This paper focuses on almost-periodic time-dependent perturbations of an almost-periodic differential equation near the degenerate equilibrium point. Using the KAM method, the perturbed equation can be reduced to a suitable normal form with zero as equilibrium point by an affine almost-periodic transformation. Hence, for the equation we can obtain a small almost-periodic solution.

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Wenhua Qiu. Jianguo Si. "Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations." Abstr. Appl. Anal. 2013 1 - 9, 2013. https://doi.org/10.1155/2013/386812

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1295.34051
MathSciNet: MR3132558
Digital Object Identifier: 10.1155/2013/386812

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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