Solutions of a second-order Hamiltonian system with periodic boundary conditions
Qiong Meng - School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, China (email)
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.
Keywords: Second-order Hamiltonian system, periodic boundary
condition, least action principle, saddle point theorem.
Received: September 2009; Revised: January 2010; Published: April 2010.
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