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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 930410, 11 pages
doi:10.1155/2012/930410
Research Article
Global Attractivity of a Higher-Order Difference Equation
Department of Mathematics, College of Science & Arts-Rabigh, King Abdulaziz University,
Rabigh 21911, Saudi Arabia
Received 7 May 2012; Accepted 8 July 2012
Academic Editor: M. De la Sen
Copyright © 2012 R. Abo-Zeid. 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
The aim of this work is to investigate the global stability, periodic nature, oscillation, and the boundedness of all admissible solutions of the difference equation where are positive real numbers and are nonnegative integers, such that .