期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一类非自治二阶哈密顿系统周期解的存在性 被引量：2

Existence of periodic solutions for a class of non-autonomous second order Hamiltonian Systems
下载PDF
导出
摘要 研究了一类非自治二阶哈密顿系统周期解的存在性,给出了一些新的存在性条件,在这些新的条件下,通过使用最小作用原理获得了3个新的存在性定理. Existence of periodic solutions for a class of non - autonomous second order Hamihonian systems is studied. Some new existence conditions are obtained. Three new existence theorems are obtained by using the least action principle under new conditions.
作者 王少敏 熊明 茶国智
机构地区 大理学院数学与计算机学院 大理学院物电学院
出处 《重庆工商大学学报（自然科学版）》 2008年第1期5-8,共4页 Journal of Chongqing Technology and Business University:Natural Science Edition
基金 国家自然科学基金资助项目(10561011) 云南省科委应用基础项目(2006A0089M)
关键词 周期解 临界点 极小化 periodic solutions critical point minimization
分类号 O177.25 [理学—基础数学]
  • 相关文献

参考文献7

  • 1MAWHIN J ,WILLEM M. Critical Point Theory and Hamiltonian Systems[ M]. Springer -Verlag, Berlin/New York, 1989
  • 2TANG C L,WU X P. Periodic solutions for second order systems with not uniformly coercive potential[J]. J. Math. Amal. Appl, 2001,259:386 - 397
  • 3OU Z Q,TANG C L. Existence of homeclinic solution for the second order Hamiltonian system[J]. J. Math. Amal. Appl. , 2004,291:203 - 213
  • 4ANTONACCI F. Periodic and homoclinie solutions to a class of Hamiltonian systems with indefinite potential in sign[ J ]. Boll. Un. Mat.Ital. ,1996,10B (7) :303-324
  • 5CHEN C N,TENG S Y. Existence and multiplicity results for homeclinic orbits of Hamiltonian systems[J]. Electron. J. Differential Equations , 1997,1997:1 - 19
  • 6AMBROSETTI A, MANCINI G. Solutions of minimal period to a class of convex Hamiltonian systems [ J ]. Math. Ann. , 1981,255:405 - 421
  • 7BEN NAOUM A K, TROSTTER M, WILLEM C. Existence and multiplicity results for homogeneous second order differential equations [ J ]. J. Diff. Equations, 1994,112 : 239 - 249

同被引文献8

  • 1郭志明,庾建设.Existence of periodic and subharmonic solutions for second-order superlinear difference equations[J].Science China Mathematics,2003,46(4):506-515. 被引量：54
  • 2Z.Q.Ou;Ch.L Tang.Existence of homoelinic solution for the second order Hamiltonian system,2004.
  • 3C.N.Chen;S.Y.Teng.Existence and multiplicity results for homoelinic orbits of Hamihonian systems,1997.
  • 4Antonaeei F.Periodic and homoclinic solutions to a class of Hamiltonian systems with indefinite potential in sign,1996.
  • 5Ben Naoum A K;Trostter C;Willem M.Existence and multiplicity results for homogeneous second order differential equations,1994.
  • 6Ambrosetti A;Mancini G.Solutions of minimal period to a class of convex Hamiltonian systems,1981.
  • 7Y.H.Ding.Existence and multiplicity results for homoclinic solutions to a class of Hamihonian systems,1995.
  • 8Mawhin J;Willem M.Critical Point Theory and Hamihonian Systems,1989.

引证文献2

二级引证文献2

重庆工商大学学报（自然科学版）
2008年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部