Acta mathematica scientia, Series B >
NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS
Received date: 2010-07-28
Online 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.
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.
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 . DOI: 10.1016/S0252-9602(12)60122-2
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