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关于一类非自治二阶哈密顿系统的周期解 被引量:1

Periodic Solutions for a Class of Non-autonomous Second Order Hamiltonian Systems
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摘要 文章的主要目的是研究一类二阶哈密顿系统的周期解的存在性,通过使用临界点理论中的极大极小方法获得了一个新的存在性定理。 The purpose of this paper is to study the existence of periodic solutions to a class of second order Hamiltonian systems.One new existence theorems are obtained by the minimax methods in critical point theory.
作者 王少敏 熊明
出处 《贵州大学学报(自然科学版)》 2011年第2期17-20,共4页 Journal of Guizhou University:Natural Sciences
基金 云南省教育厅科学研究基金项目(09Y0367)
关键词 周期解 极大极小方法 广义山路定理 条件(C) periodic solutions the minimax methods generalized mountain pass theorem condition(C)
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参考文献4

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同被引文献14

  • 1Wu X, Chert S X, Teng K M. On variational methods for a class of damped vibration problems[J]. Nonlinear Anal,2008,68: 1432 - 1441.
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  • 4Tang C L, Wu X P. Notes on periodic solutions of subquadratie second order systems[J]. J Math Anal Appl,2003 ,285 :8 - 16.
  • 5Tang C L, Wu X P. Periodic solutions for a class of non - autonomous subquadratic second order Hamiltonian systems [ J ]. J Math Anal Appl,2002 ,275 :870 - 882.
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  • 7Tang C L, Wu X P. Periodic solutions for second order systems with not uniformly coercive potential [ J]. J Math Anal Appl, 2001,259:386 - 397.
  • 8Tang C L, Wu X P. Periodic solutions of a class of non -autonomous second order systems [ J ]. J Math Anal Appl, 1999,236: 227 - 235.
  • 9裴瑞昌,李海合.一类二阶Hamihonian系统的无穷多周期解[J].纯粹数学与应用数学学报,2009,25(4):690-694.
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