| 一类二阶边值系统周期解的存在性 |
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| 引用本文： | 石义霞,吴英颖,周旭.一类二阶边值系统周期解的存在性[J].湛江师范学院学报,2007,28(3):7-10. |
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| 作者姓名： | 石义霞 吴英颖 周旭 |
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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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| 基金项目： | 湛江师范学院青年科研基金 |
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| 摘 要： | 利用极小作用原理在次线性条件下证明了非自治的二阶Hamilton系统以及推广的二阶Hamilton系统周期解的存在性.
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| 关 键 词： | 周期解 二阶系统 Sobolev不等式 Wirtinger不等式 |
| 文章编号： | 1006-4702（2007）03-0007-04 |
| 修稿时间： | 2007-01-11 |
The Existence Theorems for Periodic Solutions of Generalized Second-Order Sysytem |
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| SHI Yi-xia,WU Ying-ying,ZHOU Xu.The Existence Theorems for Periodic Solutions of Generalized Second-Order Sysytem[J].Journal of Zhanjiang Normal College,2007,28(3):7-10. |
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| Authors: | SHI Yi-xia WU Ying-ying ZHOU Xu |
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| Institution: | School of Mathematics and Computational Science,Zhanjiang Normal College,Zhanjiang, Guangdong 524048, China |
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| Abstract: | Under sub-linear condition the existence theorems are obtained by the least action principle for periodic solutions of a class of nonautomomous second-order system,thus the previous results are more gereralized. |
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| Keywords: | periodic solutions second-order Hamilton systems Sobolev's inequality Wirtinger's ineuquality |
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