Abstract and Applied Analysis
Volume 2013 (2013), Article ID 508247, 9 pages
http://dx.doi.org/10.1155/2013/508247
Research Article

Subharmonics with Minimal Periods for Convex Discrete Hamiltonian Systems

Honghua Bin

School of Science, Jimei University, Xiamen 361021, China

Received 19 January 2013; Accepted 24 February 2013

Academic Editor: Zhengkun Huang

Copyright © 2013 Honghua Bin. 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 consider the subharmonics with minimal periods for convex discrete Hamiltonian systems. By using variational methods and dual functional, we obtain that the system has a -periodic solution for each positive integer , and solution of system has minimal period as subquadratic growth both at 0 and infinity.