| 一类四阶离散哈密顿系统周期解的存在性 |
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| 引用本文： | 金盼盼,王智勇.一类四阶离散哈密顿系统周期解的存在性[J].数学杂志,2017,37(3):549-557. |
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| 作者姓名： | 金盼盼 王智勇 |
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| 作者单位： | 南京信息工程大学数学与统计学院, 江苏 南京 210044,南京信息工程大学数学与统计学院, 江苏 南京 210044 |
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| 基金项目： | 国家自然科学基金资助（11571176）. |
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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.
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| 关 键 词： | 离散哈密顿系统 周期解 鞍点定理 可解性条件 |
| 收稿时间： | 2015/10/19 0:00:00 |
| 修稿时间： | 2016/2/18 0:00:00 |
EXISTENCE OF PERIODIC SOLUTIONS FOR FOURTH ORDER DISCRETE HAMILTONIAN SYSTEMS |
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| JIN Pan-pan and WANG Zhi-yong.EXISTENCE OF PERIODIC SOLUTIONS FOR FOURTH ORDER DISCRETE HAMILTONIAN SYSTEMS[J].Journal of Mathematics,2017,37(3):549-557. |
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| Authors: | JIN Pan-pan and WANG Zhi-yong |
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| Institution: | School of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China and School of Mathematics and Statistics, Nanjing University of Information Science & Technology, Nanjing 210044, China |
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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. |
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| Keywords: | discrete Hamiltonian systems periodic solutions saddle point theorem solvability condition |
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