International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 55, Pages 2915-2926
doi:10.1155/S0161171204402270

On a difference equation with min-max response

George L. Karakostas1 and Stevo Stević2

1Department of Mathematics, University of Ioannina, Ioannina 45110, Greece
2Mathematical Institute of the Serbian Academy of Sciences and Arts, Knez Mihailova 35, Beograd 11000, Serbia

Received 25 February 2004

Copyright © 2004 Hindawi Publishing Corporation. 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.

Abstract

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.