非自治共振二阶离散Hamilton系统的周期解

摘要

In this paper, we investigate the existence of periodic solutions for second order nonautono-mous discrete Hamiltonian system with sublinear nonlinearity, 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.%研究了非自治二阶离散Hamilton系统周期解的存在性问题.在非线性项是次线性增长时,将这类Hamilton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.