November  2009, 8(6): 1795-1801. doi: 10.3934/cpaa.2009.8.1795

Periodic solutions of a class of Newtonian equations

1. 

College of Mobile Telecom., Chongqing University of Posts and Telecom., Chongqing 401520, China

2. 

Department of Mathematics, South China University of Technology, Guangzhou 510640, China

3. 

Department of Mathematics, , Sichuan Normal University, Chengdu 610068, China

Received  June 2008 Revised  November 2008 Published  August 2009

In this paper, we apply the Mountain Pass Lemma of Ambrosetti-Rabinowitz [2] to study the existence of new periodic solutions with a prescribed energy for a class of second order Hamiltonian conservative systems.
Citation: Dixiang Cheng, Zhengrong Liu, Xin Huang. Periodic solutions of a class of Newtonian equations. Communications on Pure & Applied Analysis, 2009, 8 (6) : 1795-1801. doi: 10.3934/cpaa.2009.8.1795
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