| 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. |
| 关键词: 周期解 二阶Hamilton系统 (C)条件 鞍点定理 |
| DOI： |
| 分类号:O176.3 |
| 基金项目:国家自然科学基金资助（11026213；11571176）. |
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| PERIODIC SOLUTIONS OF A CLASS OF SUBQUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS WITH DAMPED VIBRATION |
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JU Jia-min, WANG Zhi-yong
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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. |
| Key words: periodic solutions second-order Hamiltonian systems (C)condition saddle point theorem |
