Discrete Dynamics in Nature and Society 
Volume 2007 (2007), Article ID 75262, 10 pages
doi:10.1155/2007/75262
Research Article

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

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

Abstract

This paper studies the boundedness character and the global attractivity of positive solutions of the difference equation xn+1=∑j=0kajfj(xn−j),n∈ℕ0, where aj are positive numbers and fj are continuous decreasing self-maps of the interval (0,∞) for j=0,1,…,k.