English

Invariant Curves of Almost Periodic Reversible Mappings

Classical Analysis and ODEs 2018-07-25 v3

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+ϖ2x+φ(x)=f(t)x"+g(x)x'+\varpi^{2}x+\varphi(x)=f(t) with f(t)f(t) almost periodic.

Keywords

Cite

@article{arxiv.1807.06304,
  title  = {Invariant Curves of Almost Periodic Reversible Mappings},
  author = {Daxiong Piao and Xinli Zhang},
  journal= {arXiv preprint arXiv:1807.06304},
  year   = {2018}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1606.08938, arXiv:1705.09162 by other authors