Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems

Advances in Difference Equations

Da-Bin Wang¹  Wen Guan¹  Hua-Fei Xie² 

[1] Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, People’s Republic of China

关键词: variational minimizers;    saddle point theorem;    discrete Hamiltonian systems;    periodic;    34C25;    58E50;   

DOI  :  10.1186/s13662-016-1036-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider the existence of periodic solutions for a class of nonautonomous second-order discrete Hamiltonian systems in case the sum on the time variable of potential is periodic. The tools used in our paper are the direct variational minimizing method and Rabinowitz’s saddle point theorem.

【 授权许可】

CC BY