一类次线性离散Hamiltonian系统的周期解

Periodic Solution for a Class of Sublinear Discrete Hamiltonian System

研究非自治离散Hamiltonian系统周期解的存在性问题.在非线性项次线性增长时,将这类系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论建立了此类系统周期解的存在性结果.

In this paper,we investigate the existence of periodic solutions for non-automous discrete Hamiltonian system,we convert periodic solutions of the system into the critical points of a functional defined on a proper space,and prove that there existence of periodic solutions by critical point theory.