索剑峰, 葛瑜. 一类二阶离散Hamiltonian系统的同宿解[J]. 云南大学学报(自然科学版), 2011, 33(6): 627-633.
引用本文: 索剑峰, 葛瑜. 一类二阶离散Hamiltonian系统的同宿解[J]. 云南大学学报(自然科学版), 2011, 33(6): 627-633.
shu
SUO Jian-feng, GE Yu. Homoclinic solutions for a class of the second order discrete Hamiltonian systems[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(6): 627-633.
Citation: SUO Jian-feng, GE Yu. Homoclinic solutions for a class of the second order discrete Hamiltonian systems[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(6): 627-633.
shu

一类二阶离散Hamiltonian系统的同宿解

Homoclinic solutions for a class of the second order discrete Hamiltonian systems

    摘要
  • 摘要: 研究了一类二阶离散Hamiltonian系统的非平凡同宿解的存在性.首先构造与原系统相关的一列周期系统;然后在一定条件下利用山路定理得到这些系统的非平凡2kT-周期解;最后通过极限得到原系统的非平凡同宿解.

     

    Abstract: We study the existence of nontrivial homoclinic solution for the second order discrete Hamiltonian system.At first,one sequence of periodic systems is constructed with the original system.Then,under certain conditions,nontrivial 2kT-periodic solutions of these systems are got by mountain theorem.Finally,a homoclinic solution is obtained as a limit of these 2kT-periodic solutions.

     

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