| 一类非自治离散Hamiltonian系统的周期解 |
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| 引用本文： | 张申贵.一类非自治离散Hamiltonian系统的周期解[J].徐州师范大学学报(自然科学版),2011,29(1). |
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| 作者姓名： | 张申贵 |
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| 作者单位： | 西北民族大学,数学与计算机科学学院,甘肃,兰州,730030 |
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| 基金项目： | 国家民委科研基金资助项目(05XB07); 西北民族大学中青年科研基金资助项目(X2007-012) |
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| 摘 要： | 研究了一阶非自治离散Hamiltonian系统周期解的存在性.在非线性项是线性增长条件时,将这类Hamilto-nian系统的周期解转化为定义在一个适当空间上泛函的临界点,然后利用临界点理论中的鞍点定理,建立了此类系统周期解的存在性结果.
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| 关 键 词： | 一阶离散Hamiltonian系统 线性增长条件 周期解 临界点 |
Periodic solution for a class of non-autonomous discrete Hamiltonian system |
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| Zhang Shengui.Periodic solution for a class of non-autonomous discrete Hamiltonian system[J].Journal of Xuzhou Normal University(Natural Science Edition),2011,29(1). |
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| Authors: | Zhang Shengui |
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| Institution: | Zhang Shengui(College of Mathematics & Computer Science,Northwest University for Nationalities,Lanzhou 730030,Gansu,China) |
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| Abstract: | In this paper,we study the existence of periodic solutions for first order non-autonomous discrete Hamiltonian system.When nonlinearity satisfies linear growth condition,we convert periodic solutions of the system into the critical points of a functional defined on a proper space and prove the existence of periodic solutions based on the saddle point theorem in the critical point theory. |
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| Keywords: | first order discrete Hamiltonian system linear growth condition periodic solution critical point |
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