Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 47264, 10 pages
doi:10.1155/2007/47264
On a max-type difference equation
I. Yalçinkaya1
, B.D. Iričanin2
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
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.