Invariant Curves of Almost Periodic Reversible Mappings

Daxiong Piao; Xinli Zhang

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arXiv · 1807.06304

Invariant Curves of Almost Periodic Reversible Mappings

Daxiong Piao·Xinli Zhang

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Abstract

In this paper, we prove some invariant curve theorems for the planar almost periodic reversible mappings. As an application, we will discuss the existence of almost periodic solutions and the boundedness of all solutions for the nonlinear oscillator $x"+g(x)x'+\varpi^{2}x+φ(x)=f(t)$ with $f(t)$ almost periodic.

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BibTeX RIS

Daxiong Piao, Xinli Zhang. 2018-07-22. Invariant Curves of Almost Periodic Reversible Mappings. https://arxiv.org/abs/1807.06304

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