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非自治共振二阶离散Hamilton系统的周期解 被引量：1

Periodic solutions for nonautonmous second order discrete Hamiltonian system at resonant
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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。 In this paper, we investigate the existence of periodic solutions for second order nonautonomous discrete Hamihonian 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.
作者 张申贵
机构地区 西北民族大学数学与计算机科学学院
出处 《贵州师范大学学报（自然科学版）》 CAS 2013年第1期48-52,共5页 Journal of Guizhou Normal University：Natural Sciences
基金 国家自然科学基金(31260098) 西北民族大学中青年科研项目(12XB38)
关键词 二阶离散Hamilton系统 次线性增长 周期解 临界点 second order discrete Hamihonian system sublinear condition periodic Solutions critical point
分类号 O175.25 [理学—基础数学]
  • 相关文献

参考文献9

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二级参考文献41

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共引文献30

同被引文献12

  • 1孟海霞,郭晓峰.一类共振二阶系统的多重周期解[J].华东师范大学学报（自然科学版）,2006(1):40-44. 被引量：1
  • 2OU Zengqi’TANG Chunlei. Periodic and Subharmonic Solutions for a Class of Superquadratic Hamiltonian Systems[J].Nonlinear Analysis TMA, 2004,58(3) :245 - 258.
  • 3TANG Chunlei. A Note on Periodic Solutions of Second Order Systems[J]. Proc. Amer. Math. Soc. ,2003,132 :1 295 -1393.
  • 4ZHANG Xingyong, TANG Xianhua. Periodic Solutions for an Ordinary ^-Laplacian System [J], Taiwan Residents Journal ofMathematics,2011,15(3):1 369 - 1 396.
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  • 6ZHAO Fukun,WU Xian. Existence of Periodic Solutions for Nonautonmous Second Order Systemswith Linear Nonlin-earity[J], Nonlinear Anal. ,2005,60(7) :325 - 335.
  • 7TANG Chunlei. Periodic Solutions for Second Order Systems with Sublinear Nonlinearity[J]. Proceedings of the Ameri-can Mathematical Society, 1998?126 : 3 263 - 3 270.
  • 8HAN Zhiqing. Existence of Periodic Solutions of Linear Hamiltonian Systems with Sublinear Perturbation[J], BoundaryValue Problems,2010,12:123 - 131.
  • 9TANG Xianhua, XIAO Li. Homoclinic Solutions for a Class of Second Order Hamiltonian Systems[J〕. Nonlinear Anal-sis,2009,71(3):1 140 - 1 151.
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引证文献1

贵州师范大学学报（自然科学版）
2013年 第1期

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