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

Qiong Meng; X. H. Tang

doi:10.3934/cpaa.2010.9.1053

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2010, Volume 9, Issue 4: 1053-1067. Doi: 10.3934/cpaa.2010.9.1053

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

Qiong Meng^1, and
X. H. Tang^1,

1.
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083

Received: September 2009

Revised: January 2010

Published: July 2010

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: 34C25, 58E50, 70H05.

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