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Abstract and Applied Analysis
Volume 2014, Article ID 925290, 7 pages
Research Article

Multiplicity of Periodic Solutions for a Higher Order Difference Equation

College of Science, Hunan Institute of Engineering, Xiangtan, Hunan 411104, China

Received 26 January 2014; Accepted 12 March 2014; Published 23 April 2014

Academic Editor: Chuangxia Huang

Copyright © 2014 Ronghui Hu. 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.


We study a higher order difference equation. By Lyapunov-Schmidt reduction methods and computations of critical groups, we prove that the equation has four -periodic solutions.