| 非自治共振二阶离散Hamilton系统的周期解 |
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| 引用本文： | 张申贵.非自治共振二阶离散Hamilton系统的周期解[J].贵州师范大学学报(自然科学版),2013,31(1):48-52. |
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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： | 国家自然科学基金(31260098);西北民族大学中青年科研项目(12XB38) |
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| 摘 要： | 研究了非自治二阶离散Hamilton系统周期解的存在性问题。在非线性项是次线性增长时,将这类Hamil-ton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建立了此类系统周期解的存在性结果。
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| 关 键 词： | 二阶离散Hamilton系统 次线性增长 周期解 临界点 |
Periodic solutions for nonautonmous second order discrete Hamiltonian system at resonant |
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| ZHANG Shen-gui.Periodic solutions for nonautonmous second order discrete Hamiltonian system at resonant[J].Journal of Guizhou Normal University(Natural Sciences),2013,31(1):48-52. |
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| Authors: | ZHANG Shen-gui |
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| Institution: | ZHANG Shen-gui(College of Computer Science and Mathematics,Northwest University for Nationalities,Lanzhou,Gansu 730030,China) |
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| Abstract: | In this paper,we investigate the existence of periodic solutions for second order nonautonomous discrete Hamiltonian system with sublinear nonlinearity,we convert periodic solutions of the system into the critical points of a functional defined on a proper space,and prove that there existence of periodic solutions by critical point theory. |
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| Keywords: | second order discrete Hamiltonian system sublinear condition periodic Solutions critical point |
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