| 一类推广的二阶Hamilton系统的周期解 |
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| 引用本文： | 石义霞,李晓培.一类推广的二阶Hamilton系统的周期解[J].广西大学学报(自然科学版),2006,31(2):136-139. |
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| 作者姓名： | 石义霞 李晓培 |
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| 作者单位： | 湛江师范学院,数学与计算科学学院,广东,湛江,524048 |
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| 摘 要： | 分别利用极小作用原理及鞍点定理在势泛函为一次线性泛函和次二次泛函之和的条件下讨论了一类非自治二阶Hamilton系统周期解的存在性.
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| 关 键 词： | 周期解 二阶Hamilton系统 鞍点定理 Sobolev不等式 Wirtinger不等式 |
| 文章编号： | 1001-7445(2006)02-0136-04 |
| 收稿时间： | 2006-03-17 |
| 修稿时间： | 2006年3月17日 |
Periodic solutions of the generalized second-order Hamilton systems |
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| SHI Yi-xia,LI Xiao-pei.Periodic solutions of the generalized second-order Hamilton systems[J].Journal of Guangxi University(Natural Science Edition),2006,31(2):136-139. |
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| Authors: | SHI Yi-xia LI Xiao-pei |
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| Institution: | Department of Mathematics of Zhanjiang Normal University, Zhanjiang 524048,China |
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| Abstract: | By using the least action principle and the saddle point theorem in Critical Point theory,the existence theorems for periodic solutions of a class of nonautomomous second-order systems are obtained. |
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| Keywords: | periodic solutions second-order Hamilton systems saddle point theorem Sobolev's inequality Wirtinger's inequality |
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