Discrete Dynamics in Nature and Society 
Volume 2007 (2007), Article ID 47264, 10 pages
doi:10.1155/2007/47264
Research Article

On a Max-Type Difference Equation

I. Yalçinkaya,1 B. D. Iričanin,2 and C. Çinar1

 1Mathematics Department, Faculty of Education, Selçuk University, 42090 Konya, Turkey
2Faculty of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, 11000 Beograd, Serbia
Received 17 December 2007; Accepted 24 December 2007

Abstract

We study the behaviour of the solutions of the following difference equation with the max operator: xn+1=max{1/xn,Axn−1}, n∈ℕ0, where parameter A∈ℝ and initial values x−1 and x0 are nonzero real numbers. In the most of the cases we determine the behaviour of the solutions in the terms of the initial values x−1 and x0 and the parameter A.