Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations

Wenhua Qiu and Jianguo Si

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:386812

DOI: 10.1155/2013/386812

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