| 一类非自治Hamiltonian系统的多重周期解 |
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| 引用本文： | 张申贵,李琰.一类非自治Hamiltonian系统的多重周期解[J].西北民族学院学报,2013,34(1):1-6. |
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| 作者姓名： | 张申贵 李琰 |
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| 作者单位： | 1. 西北民族大学数学与计算机科学学院,甘肃兰州,730030
2. 兰州第八中学,甘肃兰州,730030 |
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| 摘 要： | Hamiltonian系统是一类比较重要的微分方程模型.文章研究非自治Hamiltonian系统周期解的存在性.在具有部分周期位势和线性增长非线性项时,利用广义鞍点定理得到了多重周期解存在的充分条件,所得结论推广了已知结果.
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| 关 键 词： | 非自治Hamiltonian系统 部分周期位势 线性增长非线性项 周期解 临界点 |
Multiplicity of periodic solutions for a class of non-autonomous Hamiltonian systems |
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| ZHANG SHen-gui
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LI yan.Multiplicity of periodic solutions for a class of non-autonomous Hamiltonian systems[J].Journal of Northwest Minorities University(Natural Science ),2013,34(1):1-6. |
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| Authors: | ZHANG SHen-gui LI yan |
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| Institution: | 1.College of Computer Science and Mathematics, Northwest University for Nationalities, Gan su ,Lan zhou,730030;2.Lanzhou NO.8 middle school, Gan su ,Lan zhou, 730030,China ) |
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| Abstract: | Hamiltonian System is an important model of differential equation. In this paper, we investigate the existence of periodic solution for nonautonmous Hamiltonian system with partially periodic potential or linear nonlinearity by general saddle point theorem. Some sufficient conditions for the existence of multiple periodic solutions are obtained, and this results improve the existingones. |
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| Keywords: | Nonautonmous Hamiltonian System Partially periodic potential linear nonlinearity Periodic Solution Critical point |
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