Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 34517, 9 pages
Research Article

On the Recursive Sequence xn+1=A+xnp/xn1p

Stevo Stević

Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, Beograd 11000, Serbia

Received 4 July 2006; Revised 7 November 2006; Accepted 9 January 2007

Copyright © 2007 Stevo Stević. 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.


This paper studies the boundedness, global attractivity, and periodicity of the positive solutions of the difference equation xn+1=A+xnp/xn1p, n0, with p,A(0,). The main results give a complete picture regarding the boundedness character of the positive solutions of the equation.