Infinitely many periodic solutions for discrete second order Hamiltonian systems with oscillating potential

Advances in Difference Equations

Chengfu Che¹  Xiaoping Xue² 

[1] Department of Mathematics, Harbin Institute of Technology, Harbin, People's Taiwan

关键词: Periodic Solution;    Index Theory;    Critical Point Theory;    Multiplicity Result;    Finite Dimensional Hilbert Space;   

DOI  :  10.1186/1687-1847-2012-50

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article we obtain two sequence of infinitely many periodic solutions for discrete second order Hamiltonian systems with an oscillating potential. One sequence of solutions are local minimizers of the functional corresponding to the system, the other sequence are minimax type critical points of the functional.

【 授权许可】

CC BY