Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 675413, 13 pages
doi:10.1155/2010/675413
Research Article

On the Max-Type Difference Equation xn+1=max⁡{A/xn,xn−3}

Bratislav D. Iričanin1 and E. M. Elsayed2

1Faculty of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, Belgrade 11120, Serbia
2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Received 29 October 2009; Revised 24 December 2009; Accepted 25 January 2010

Academic Editor: Leonid Berezansky

Copyright © 2010 Bratislav D. Iričanin and E. M. Elsayed. 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 show that every well-defined solution of the fourth-order difference equation xn+1=max⁡{A/xn,xn−3},    n∈ℕ0, where parameter A≥0, is eventually periodic with period four.