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

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

Dağistan Simsek1 , Bilal Demir2 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

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.