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

doi:10.1016/S0252-9602(09)60032-1

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

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

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

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/Abstract

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

李翀，刘春根. THE EXISTENCE OF NONTRIVIAL SOLUTIONS OF HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS[J]. 数学物理学报(英文版), 2009, 29(2): 313-326.

Li Chong, Liu Chungen. THE EXISTENCE OF NONTRIVIAL SOLUTIONS OF HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS[J]. Acta mathematica scientia,Series B, 2009, 29(2): 313-326.

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

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

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