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

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.

Bibliographic Details
Main Author: Stevo Stevic
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2007/75262