| 超二次凸二阶Hamilton系统的极小周期解的研究 |
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| 引用本文： | 程迪祥,张世清.超二次凸二阶Hamilton系统的极小周期解的研究[J].重庆邮电学院学报(自然科学版),1998(1). |
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| 作者姓名： | 程迪祥 张世清 |
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| 作者单位： | 重庆邮电学院教务处(程迪祥)，重庆大学应用数学系(张世清) |
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| 摘 要： | 在该文中，作者利用山路引理、势能估计、截断函数等技巧研究了超二次凸二阶Ｈａｍｉｌｔｏｎ系统的极小周期解，从而在势能函数是凸的情况下解决了Ｒａｂｉｎｏｗｉｔｚ关于极小周期解的猜测。
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| 关 键 词： | Hamillton系统，极小周期解，猜测 |
The Minimal Periodic Solution of Superquadratic Convex Second Order Hamiltonian System |
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| Cheng Dixiang.The Minimal Periodic Solution of Superquadratic Convex Second Order Hamiltonian System[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),1998(1). |
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| Authors: | Cheng Dixiang |
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| Abstract: | In this paper, the authors study the minimal periodic solution of the superquadratic convex second order Hamiltonian system through the Mountain Pass Lemma, the estimate for potontial energy, the techniques of truncation functional. We solve the Rabinowitz's conjecture about the minimal period under the special case that the potential functional is convex. |
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| Keywords: | Hamiltonian system minimal peridodic solution |
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