On a Class of Nonautonomous Max-Type Difference EquationsReport as inadecuate




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Abstract and Applied AnalysisVolume 2011 2011, Article ID 436852, 15 pages

Research Article

College of Computer Science, Chongqing University, Chongqing 400044, China

Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36-III, 11000 Beograd, Serbia

Received 15 February 2011; Accepted 14 June 2011

Academic Editor: Gaston Mandata N-Guerekata

Copyright © 2011 Wanping Liu et al. 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

This paper addresses the max-type difference equation ????=max{????-??????-??,??-??????-??}, ???N0, where ??,???N, ??>0, and ???????N0 is a positive sequence with a finite limit. We prove that every positivesolution to the equation converges to max{lim???8????1-??+1,??1-??+1} under some conditions. Explicit positive solutions to two particular cases arealso presented.





Author: Wanping Liu, Xiaofan Yang, and Stevo Stević

Source: https://www.hindawi.com/



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