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July  2010, 9(4): 1053-1067. doi: 10.3934/cpaa.2010.9.1053

Solutions of a second-order Hamiltonian system with periodic boundary conditions

1. 

School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, China, China

Received  September 2009 Revised  January 2010 Published  April 2010

By using the least action principle and the minimax methods, some existence theorems are obtained existence of solutions to a second-order Hamiltonian system with periodic boundary conditions in the cases when the gradiant of the nonlinearity is bounded sublinearly and linearly respectively.
Citation: Qiong Meng, X. H. Tang. Solutions of a second-order Hamiltonian system with periodic boundary conditions. Communications on Pure & Applied Analysis, 2010, 9 (4) : 1053-1067. doi: 10.3934/cpaa.2010.9.1053
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