二阶非自治离散Hamiltonian系统的多重周期解

On Multi-Periodic Solutions of Non-Autonomous Second Order Discrete Hamiltonian System

研究了二阶非自治离散Hamiltonian系统周期解的存在性.在非线性项是线性增长时,将这类Hamiltonian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此类系统周期解的存在性结果.

In this paper, the existence of periodic solutions for second order non-autonomous discrete Ham- iltonian system with linear nonlinearity have been investigated, periodic solutions of the system into the critical points of a functional defined on a proper space converted, and existence of periodic solutions by critical point theory proved.