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| 摘要: |
| 本文研究了一类四阶离散哈密顿系统周期解的存在性问题.利用临界点理论中的极大极小方法，通过引入两个不同的控制函数，得到了新的可解性条件，并且利用这些条件得到了新的存在性结果. |
| 关键词: 离散哈密顿系统 周期解 鞍点定理 可解性条件 |
| DOI： |
| 分类号:O175.12 |
| 基金项目:国家自然科学基金资助（11571176）. |
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| EXISTENCE OF PERIODIC SOLUTIONS FOR FOURTH ORDER DISCRETE HAMILTONIAN SYSTEMS |
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JIN Pan-pan,WANG Zhi-yong
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| Abstract: |
| In this paper, we study the existence of periodic solutions for a class of fourth-order discrete Hamiltonian systems. By introducing two control functions, we obtain two new solvability conditions. Under these conditions, we establish two new existence theorems by making use of the minimax methods in critical point theory. |
| Key words: discrete Hamiltonian systems periodic solutions saddle point theorem solvability condition |
