J4 ›› 2011, Vol. 10 ›› Issue (4): 1-6.

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Periodic Solutions for a Class of Second Order Hamiltonian Systems with Damping Term

The purpose of this paper is to study the existence of periodic solutions of a class of second order Hamiltonian Systems ith damping term. Two new existence theorems are obtained by the minimax methods in critical point theory.   

  1. 1. College of Mathematics and Computer, Dali University, Dali, Yunnan 671003, China;2. College of Engineering,Dali University, Dali, Yunnan 671003, China
  • Received:2010-11-02 Online:2011-04-01 Published:2011-04-01

Abstract:

The purpose of this paper is to study the existence of periodic solutions of a class of second order Hamiltonian Systems ith damping term. Two new existence theorems are obtained by the minimax methods in critical point theory.

Key words: periodic solutions, the minimax methods, theorem of the generalized mountain, condition (C)

CLC Number: