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极小极大方法在二阶Hamilton系统中的应用 被引量:1

Applications of the Minimax Methods to the Second Order Hamiltonian Systems
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摘要 本文综述了用极小极大方法得到的关于二阶Hamilton系统周期解的可解性条件及相关结果,包括次线性条件,次二次条件和超二次条件等方面的近期结果。 Some solvability conditions, including sublinear,subquadralic and superquadratic, and the corresponding existence results are summed up for periodic solutions of the second order Hamiltonian systems obtained by using the minimax methods.
作者 唐春雷
出处 《重庆职业技术学院学报》 2003年第4期1-4,共4页 Journal of Chongqing Vocational& Technical Institute
基金 国家自然科学基金项目(19871067) 教育部科学技术重点项目 教育部高等学校优秀青年教师教学科研奖励计划。
关键词 极小极大方法 二阶HAMILTON系统 周期解 次线性条件 次二次条件 超二次条件 minimax methods second order Hamiltonian systems periodic solutions sublinear subquadratic superquadratic
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参考文献6

二级参考文献25

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共引文献23

同被引文献11

  • 1Mawvin J, Willem M. Critcal Point Theory and Hamiltonian Systems[ M ]. Newyork : Springer Verlag, 1989.
  • 2Ma Jian, Tang Chun-Lei. Periodic solutions of a class of nonantonomous second -order systems [ J ]. Math Anal Appl,2002 ,275 :482-494.
  • 3Yang Ri-Gao. Peridie solutions of some non-autonomous second order Hamiltonian systems [ J ]. Nonlinear Analysis, 2008,69 : 2333 -2338.
  • 4Wu Xing-Ping,Tang Chun-Lei. Periodic solution of a class of non-autonomous second order systems [ J]. J Math Anal Appl, 1999,236 : 227-235.
  • 5Zhao Fu-Kun, Wu Xian. Periodic solutions for a class of non-autonomous second order systems [ J ]. Math Anal Appl, 2004,296 : 422 -434.
  • 6Tang ChunLei. Peordic solution of some non-autonomous second order system [ J ]. J Math Anal Appl, 1996,202 : 465-469.
  • 7Tang Chunlei, Cong Zhijian, Meng Shicai. An existence theorem on periodic solutions of second order system with even-typed potentials[ J ]. Journal of Southwest China Normal University,2002,27 (5) :637-640.
  • 8Wu Xingping, Tang Chunlei. Periodic solutions of nonautonomous second-order Hamihonian systems with eventyped potentials [ J ]. Nonlinear Analysis, 2003, 55 ( 6 ) : 759-769.
  • 9Ma Jian, Tang Chunlei. Periodic solutions for some nonautonomous second-order systems[J]. Journal of Mathematical Analysis and Applications ,2002,275 ( 2 ) :482 -494.
  • 10唐春雷,吴行平.极小作用原理在二阶Hamilton系统中的应用[J].西南师范大学学报(自然科学版),2000,25(4):364-368. 被引量:6

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