Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 975740, 8 pages
doi:10.1155/2010/975740
Research Article

On a Max-Type Difference Inequality and Its Applications

Stevo Stević1 and Bratislav D. Iričanin2

1Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, Serbia
2Faculty of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, Belgrade 11120, Serbia

Received 1 November 2009; Accepted 31 March 2010

Academic Editor: Leonid Berezansky

Copyright © 2010 Stevo Stević and Bratislav D. Iričanin. 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 prove a useful max-type difference inequality which can be applied in studying of some max-type difference equations and give an application of it in a recent problem from the research area. We also give a representation of solutions of the difference equation xn=max{xn−1a1,…,xn−kak}.