NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS

doi:10.1016/S0252-9602(12)60122-2

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (4): 1545-1558.doi: 10.1016/S0252-9602(12)60122-2

NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS

刘春根¹, |张清业²

1.School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China； 2.School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China.

收稿日期:2010-07-28 出版日期:2012-07-20 发布日期:2012-07-20
基金资助:
Partially supported by NFS of China (11071127, 10621101) and 973 Program of STM (2011CB808002); Part work of this paper was completed when the second author studying in Nankai University for his PhD programm.

NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS

LIU Chun-Gen¹, ZHANG Qing-Ye²

1.School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China； 2.School of Mathematics and Information Sciences, Jiangxi Normal University, Nanchang 330022, China.

Received:2010-07-28 Online:2012-07-20 Published:2012-07-20
Supported by:
Partially supported by NFS of China (11071127, 10621101) and 973 Program of STM (2011CB808002); Part work of this paper was completed when the second author studying in Nankai University for his PhD programm.

摘要/Abstract

摘要：

In this article, we study the existence of nontrivial solutions for a class of asymptotically linear Hamiltonian systems with Lagrangian boundary conditions by the Galerkin approximation methods and the L-index theory developed by the first author.

关键词: Lagrangian boundary conditions, Hamiltonian systems, asymptotically lin-ear, Maslov-type index

Abstract:

Key words: Lagrangian boundary conditions, Hamiltonian systems, asymptotically lin-ear, Maslov-type index

中图分类号:

34B10

刘春根, 张清业. NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS[J]. 数学物理学报(英文版), 2012, 32(4): 1545-1558.

LIU Chun-Gen, ZHANG Qing-Ye. NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS[J]. Acta mathematica scientia,Series B, 2012, 32(4): 1545-1558.

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NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS

NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS

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