数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 313-326.doi: 10.1016/S0252-9602(09)60032-1

• 论文 • 上一篇    下一篇

THE EXISTENCE OF NONTRIVIAL SOLUTIONS OF HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS

  

  1. School of Mathematics, Nankai University, Tianjin 300071, Chi
  • 收稿日期:2006-11-21 修回日期:2007-08-10 出版日期:2009-03-20 发布日期:2009-03-20
  • 基金资助:

    Partially supported by the National Natural Science Foundation of China and 973 Program of STM.

THE EXISTENCE OF NONTRIVIAL SOLUTIONS OF HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS

  1. School of Mathematics, Nankai University, Tianjin 300071, Chi
  • Received:2006-11-21 Revised:2007-08-10 Online:2009-03-20 Published:2009-03-20
  • Supported by:

    Partially supported by the National Natural Science Foundation of China and 973 Program of STM.

摘要:

Some theorems are obtained for the existence of nontrivial solutions of Hamil-tonian systems with Lagrangian boundary conditions by the minimax methods.

关键词: Nontrivial solution, Hamiltonian systems, Lagrangian boundary conditions,  subquadratic condition, superquadratic condition

Abstract:

Some theorems are obtained for the existence of nontrivial solutions of Hamil-tonian systems with Lagrangian boundary conditions by the minimax methods.

Key words: Nontrivial solution, Hamiltonian systems, Lagrangian boundary conditions,  subquadratic condition, superquadratic condition

中图分类号: 

  • 58F05