By using critical point theory, we obtain some sufficient conditions for the existence of multiple periodic solutions to a discrete Hamiltonian system.

本文利用临界点理论，建立了一类离散哈密顿系统存在多个周期解的一些充分条件。

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First, some conditions for the existence of a multiple periodic solutions are given and the multiplicity problem for zero solution of some concrete equations is investigated as applications.

提出未扰动系统出现多重周期解的条件，并给出了一些特殊方程零解的具体重数作为应用；

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First, some conditions for the existence of a multiple periodic solutions are given and the multiplicity problem for zero solution of some concrete equations is investigated as applications.

提出未扰动系统出现多重周期解的条件，并给出了一些特殊方程零解的具体重数作为应用；

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