论文标题

几乎是周期性扭曲映射的不变曲线的存在

The existence of invariant curves of a kind of almost periodic twist mappings

论文作者

Dong, Yingdu, Li, Xiong

论文摘要

在本文中,我们关注的是平面扭曲映射的不变曲线,在这些曲线映射几乎是周期性的。作为一种应用,证明了几乎具有周期性的摆动方程的几乎周期性解决方案以及几乎是周期性外力的所有解决方案的界限。

In this paper, we are concerned with the existence of invariant curves of the planar twist mappings where the perturbations are almost periodic. As an application, the existence of almost periodic solutions and the boundedness of all solutions for pendulum-type equations with an almost periodic external force are proved.

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