Discrete Dynamics in Nature and Society
Volume 2008 (2008), Article ID 805460, 8 pages
Research Article

On the Difference Equation xn+1=α+xnm/xnk

İbrahim Yalçinkaya

Department of Mathematics, Faculty of Education, Selcuk University, 42099 Meram Yeni Yol, Konya, Turkey

Received 1 July 2008; Accepted 2 October 2008

Academic Editor: Leonid Berezansky

Copyright © 2008 İbrahim Yalçinkaya. 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.


We investigate the global behaviour of the difference equation of higher order xn+1=α+xnm/xnk, n=0,1,, where the parameters α,k(0,) and the initial values xm,x(m1),,x2,x1, and x0 are arbitrary positive real numbers.