二阶离散哈密顿系统周期解的存在性  

Existence of Periodic Solutions for Second Order Discrete Hamiltonian Systems

作　　者：李泳昌 刘春根 Li Yongchang;Liu Chungen(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广州510006

出　　处：《南开大学学报（自然科学版）》2023年第4期61-70,共10页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported partially by NSFC(11790271,12171108);Guangdong Basic and Applied Basic Research Foundation(2020A1515011019);Innovation and Development Project of Guangzhou University。

摘　　要：利用临界点理论的极小作用原理和极大极小方法,得到了一些二阶离散哈密顿系统的周期解存在性的结果.By using the least action principle and minimax methods in critical point theory,the existence of periodic solutions for some second order discrete Hamiltonian systems is obtained.

关 键 词：周期解 最小作用原理 二阶离散哈密顿系统 鞍点定理 

分 类 号：O176.3[理学—数学]