# American Institute of Mathematical Sciences

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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