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

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  • Wenhua Qiu
  • Jianguo Si

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.

Suggested Citation

  • Wenhua Qiu & Jianguo Si, 2013. "Reducibility for a Class of Almost-Periodic Differential Equations with Degenerate Equilibrium Point under Small Almost-Periodic Perturbations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-9, November.
    • Handle: RePEc:hin:jnlaaa:386812
    DOI: 10.1155/2013/386812
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