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Abstract and Applied Analysis
Volume 2012, Article ID 135903, 18 pages
Research Article

Existence of Periodic Solutions for a Class of Difference Systems with p-Laplacian

1Department of Information Engineering, Guilin University of Aerospace Technology, Guangxi, Guilin 541004, China
2College of Science, Guilin University of Technology, Guangxi, Guilin 541004, China

Received 15 February 2012; Revised 7 April 2012; Accepted 17 April 2012

Academic Editor: Yuriy Rogovchenko

Copyright © 2012 Kai Chen and Qiongfen Zhang. 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.


By applying the least action principle and minimax methods in critical point theory, we prove the existence of periodic solutions for a class of difference systems with p-Laplacian and obtain some existence theorems.