Nontrivial Solutions of Superquadratic Hamiltonian Systems with Lagrangian Boundary Conditionsand the L-index Theory  

作　　者：Chong LI Chungen LIU 

机构地区：[1]School of Mathematical Sciences, Nankai University, Tianjin 300071, China [2]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China

出　　处：《Chinese Annals of Mathematics,Series B》2008年第6期597-610,共14页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 10531050, 10621101);the 973 Project of the Ministry of Science and Technology of China.

摘　　要：In this paper, the authors study the existence of nontrivial solutions for the Hamiltonian systems z（t） = J△↓H（t, z（t）） with Lagrangian boundary conditions, where ^H（t,z）=1/2（^B（t）z, z） ＋ ^H（t, z）,^B（t） is a semipositive symmetric continuous matrix and ^H（t, z） = satisfies a superquadratic condition at infinity. We also obtain a result about the L-index.

关 键 词：L-index Nontrivial solution Hamiltonian systems Lagrangian boundary conditions Superquadratic condition 

分 类 号：O175[理学—数学]