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一类二阶离散哈密顿系统周期解的存在性

Existence of periodic solutions for a class of second-order discrete Hamiltonian systems
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摘要 利用临界点理论中的极大极小方法,在一个新的二次条件下研究了一类二阶离散哈密顿系统周期解的存在性问题,得到了一个新的存在性定理. Using the minimax methods in critical point theory,this paper concerns about the existence of periodic solutions for a class of second-order discrete Hamiltonian systems under a new quadratic condition.A new existence theorem is obtained.
作者 金盼盼 王智勇
机构地区 南京信息工程大学数学与统计学院
出处 《扬州大学学报（自然科学版）》 CAS 北大核心 2016年第1期13-17,共5页 Journal of Yangzhou University：Natural Science Edition
基金 国家自然科学基金资助项目(11026213 11571176)
关键词 离散哈密顿系统 周期解 鞍点定理 二次条件 discrete Hamiltonian systems periodic solutions saddle point theorem quadratic condition
分类号 O175.12 [理学—基础数学]
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参考文献10

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二级参考文献40

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共引文献34

扬州大学学报（自然科学版）
2016年 第1期

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