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NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS 被引量:1

NONTRIVIAL SOLUTIONS FOR ASYMPTOTICALLY LINEAR HAMILTONIAN SYSTEMS WITH LAGRANGIAN BOUNDARY CONDITIONS
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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. 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.
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第4期1545-1558,共14页 数学物理学报(B辑英文版)
基金 Partially supported by NFS of China (11071127, 10621101) 973 Program of STM (2011CB808002)
关键词 kLagrangian boundary conditions Hamiltonian systems asymptotically linear Maslov-type index kLagrangian boundary conditions Hamiltonian systems asymptotically linear Maslov-type index
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