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, issue 1

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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https://doi.org/10.1155/2013/386812

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:386812

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