Abstract and Applied Analysis
Volume 2012 (2012), Article ID 271616, 14 pages
http://dx.doi.org/10.1155/2012/271616
Research Article

Variational Approach to Quasi-Periodic Solution of Nonautonomous Second-Order Hamiltonian Systems

Juhong Kuang

College of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

Received 18 May 2011; Accepted 9 December 2011

Academic Editor: Stephan A. van Gils

Copyright © 2012 Juhong Kuang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We deal with the quasi-periodic solutions of the following second-order Hamiltonian systems x¨(t)=∇F(t,x(t)), where x(t)=(x1(t),…,xN(t)), and we present a new approach via variational methods and Minmax method to obtain the existence of quasi-periodic solutions to the above equation.