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| 一类非自治次二次二阶Hamilton系统的周期解 | |
| 引用本文： | 宋鹤,安天庆.一类非自治次二次二阶Hamilton系统的周期解[J].数学的实践与认识,2017(7):279-284. |
| 作者姓名： | 宋鹤 安天庆 |
| 作者单位： | 河海大学 理学院,江苏 南京,210098 |
| 摘 要： | 利用鞍点定理研究非自治次二次Hamilton系统的周期解问题,在适当条件下,得到了解的存在性结论. |
| 关 键 词： | 鞍点定理 二阶Hamilton系统 周期解 (PS)条件 Sobolev不等式 Wirtinger不等式 |
Periodic Solutions for a Class of Nonautonomous Subquadratic Second Order Hamilonian System |
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| SONG He,AN Tian-qing.Periodic Solutions for a Class of Nonautonomous Subquadratic Second Order Hamilonian System[J].Mathematics in Practice and Theory,2017(7):279-284. | |
| Authors: | SONG He AN Tian-qing |
| Abstract: | In this paper we study the periodic solution for non-autonmous second order Hamilonian system by using the Saddle Point Theorem.We obtain a new existence result under suitable conditions. |
| Keywords: | saddle point theorem second order Hamilonian system periodic solutions (PS)condition Sobolev's inequality Wirtinger's inequality |
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