Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 75262, 10 pages
Research Article

On the Difference Equation xn+1=j=0kajfj(xnj)

Stevo Stević

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

Received 25 February 2007; Accepted 16 June 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 character and the global attractivity of positive solutions of the difference equation xn+1=j=0kajfj(xnj),n0, where aj are positive numbers and fj are continuous decreasing self-maps of the interval (0,) for j=0,1,,k.