| 混合条件下的哈密尔顿系统周期解的存在性 |
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| 引用本文： | 王明伟,郭飞,聂千千.混合条件下的哈密尔顿系统周期解的存在性[J].四川大学学报(自然科学版),2018,55(2):221-225. |
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| 作者姓名： | 王明伟 郭飞 聂千千 |
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| 作者单位： | 天津大学数学学院,天津大学数学学院 |
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| 摘 要： | 本文利用鞍点定理得到了二阶哈密尔顿系统{ü(t)+▽F(t,u(t))=0,■t∈R,u(0)-u(T)=u(0)-u(T)=0,T0在带有混合条件时的周期解的存在性,推广了已有结果.
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| 关 键 词： | 存在性 周期解 二阶哈密尔顿系统 鞍点定理 |
| 收稿时间： | 2017/8/5 0:00:00 |
| 修稿时间： | 2017/10/26 0:00:00 |
Existence of periodic solutions for second order Hamiltonian systems with mixed condition |
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| WANG Ming-Wei,GUO Fei and NIE Qian-Qian.Existence of periodic solutions for second order Hamiltonian systems with mixed condition[J].Journal of Sichuan University (Natural Science Edition),2018,55(2):221-225. |
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| Authors: | WANG Ming-Wei GUO Fei and NIE Qian-Qian |
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| Institution: | School of Mathematics, Tianjin University,School of Mathematics, Tianjin University and School of Mathematics, Tianjin University |
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| Abstract: | A class of nonautonomous second order Hamiltonian systems with mixed condition are considered in this paper.The existence of periodic solution is obtained using Saddle Point Theorem.Our result extends some previously known results. |
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| Keywords: | existence periodic solutions second order Hamiltonian systems Saddle Point Theorem |
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