Discrete Dynamics in Nature and Society

Volume 2007 (2007), Article ID 13737, 9 pages

doi:10.1155/2007/13737

## Asymptotic Periodicity of a Higher-Order Difference Equation

# Stevo Stević

Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, Beograd 11000 , Serbia

Received 27 April 2007; Accepted 13 September 2007

Copyright © 2007 Stevo Stević. 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 give a complete picture regarding the asymptotic periodicity of positive
solutions of the following difference equation: