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超二次Hamilton系统的无穷多周期解 被引量:2

Infinitely Many Periodic Solutions for a Class of Superquadratic Hamiltonian System
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摘要 该文利用喷泉定理研究了一类超二次Hamilton系统,我们在不需假设Ambrosetti-Rabinowitz条件的情形下,得到了无穷多周期解的存在性. In this paper,we make research on superquadratic Hamiltonian system by fountain throrem. Under no Ambrosetti-Rabinowitz' condition,infinitely many periodic solutions are obtained.
作者 张申贵
出处 《甘肃联合大学学报(自然科学版)》 2006年第1期10-13,共4页 Journal of Gansu Lianhe University :Natural Sciences
关键词 超二次 HAMILTON系统 喷泉定理 无穷多解 临界点 superquadratic hamiltonian system fountain throrem infinitely many solutions critical point
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参考文献4

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同被引文献26

  • 1王少敏,杨培亮.一类二阶哈密顿系统的周期解[J].江西师范大学学报(自然科学版),2007,31(2):174-177. 被引量:2
  • 2Zou Wenming. Variant fountain theorems and their applications[J]. Manuscripta Math, 2001,104 (3) : 243.
  • 3Mawhin J, William M. Critical point theory and Hamiltonian systems[M]. Berlin.. Springer-Verlag, 1989 :87 -- 97.
  • 4Rabinowitz P H. Periodic solutions of Hamiltonian systems[J]. Comm Pure Appl Math,1978,31(2) :157.
  • 5Fei Guihua. On periodic solutions of super-quadratic Hamiltonian systems[J]. Electron J Diff Equ, 2002 (8):12.
  • 6Bartsch T. Infinitely many solutions of symmetric Dirichlet problem[J]. Nonlinear Analysis TMA, 1995,20:1205.
  • 7Antonacci F, Magrone P. Second order nonautonomous systems with symmetric potential changing sign [J]. Rend Mat Appl, 1998, 18: 367-379.
  • 8Benci V. On critical point theory for indefinite functionals in the pres- ence of symmetries [J]. Tmas Amer Math Soe, 1982, 274(2): 533-572.
  • 9Ding Yanheng, Lee C. Periodic solutions of Hamiltonian systems [J]. SIAM J Math Anal, 2000, 32(3): 555-571.
  • 10Fei Guihua. On periodic solutions of superquadratic Hamiltonian systems [J]. Electron J DiffEqns, 2002, 2002(8): 1-12.

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