Invariant curves of almost periodic twist mappings
Invariant curves of almost periodic twist mappings
复制标题
几乎周期性扭曲映射的不变曲线
DOI：
10.1007/s10884-021-10033-1
复制
发表时间：
2022
影响因子：
1.3
通讯作者：
Bin Liu
中科院分区：
文献类型：
--
作者：
Peng Huang;Xiong Li;Bin Liu
本文研究了空间变量中几乎周期的平面扭映射的不变曲线的存在性。作为这一结果在微分方程中的应用，我们将证明具有概周期外力的超线性Duffing方程概周期解的存在性和所有解的有界性。
In this paper we are concerned with the existence of invariant curves of planar twist mappings which are almost periodic in a spatial variable. As an application of this result to differential equations we will prove the existence of almost periodic solutions and the boundedness of all solutions for superlinear Duffing’s equation with an almost periodic external force.