Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 325296, 11 pages
doi:10.1155/2009/325296
Research Article

On the Solutions of the System of Difference Equations xn+1=max{A/xn,yn/xn}, yn+1=max{A/yn,xn/yn}

Dağistan Simsek,1 Bilal Demir,2 and Cengiz Cinar2

1Department of Industrial Engineering, Engineering-Architecture Faculty, Selcuk University, Kampüs, 42075 Konya, Turkey
2Mathematics Department, Education Faculty, Selcuk University, Meram Yeni Yol, 42090 Konya, Turkey

Received 17 January 2009; Accepted 13 April 2009

Academic Editor: Guang Zhang

Copyright © 2009 Dağistan Simsek et al. 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 study the behavior of the solutions of the following system of difference equations xn+1=max⁡{A/xn,yn/xn}, yn+1=max⁡{A/yn,xn/yn} where the constant A and the initial conditions are positive real numbers.