On a difference equation with min-max response

We investigate the global behavior of the (positive) solutions of the difference equation xn+1=αn+F(xn,…,xn−k), n=0,1,…, where (αn) is a sequence of positive reals and F is a min-max function in the sense introduced here. Our results extend several results obtained in the literature.

Bibliographic Details
Main Authors: George L. Karakostas, Stevo Stevic
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171204402270