| 一类带阻尼项的次二次二阶Hamilton系统的周期解 |
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| 引用本文： | 居加敏,王智勇. 一类带阻尼项的次二次二阶Hamilton系统的周期解[J]. 数学杂志, 2017, 37(2): 383-389 |
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| 作者姓名： | 居加敏 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（11026213；11571176）. |
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| 摘 要： | 本文研究了一类带阻尼项的二阶Hamilton系统周期解的存在性问题.利用鞍点定理，在新的次二次条件下，获得了一个新的存在性结果，推广并改进了已有文献的相关存在性结论.
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| 关 键 词： | 周期解 二阶Hamilton系统 (C)条件 鞍点定理 |
| 收稿时间： | 2014-09-29 |
| 修稿时间： | 2015-08-02 |
PERIODIC SOLUTIONS OF A CLASS OF SUBQUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS WITH DAMPED VIBRATION |
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| JU Jia-min and WANG Zhi-yong. PERIODIC SOLUTIONS OF A CLASS OF SUBQUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS WITH DAMPED VIBRATION[J]. Journal of Mathematics, 2017, 37(2): 383-389 |
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| Authors: | JU Jia-min and WANG Zhi-yong |
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| Affiliation: | 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 problems about existence of periodic solutions for second-order Hamiltonian systems with damped vibration.Via saddle point theorem under a new subquadratic condition,an existence theorem is obtained,which extends and improves previously known results. |
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| Keywords: | periodic solutions second-order Hamiltonian systems (C)condition saddle point theorem |
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