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doi:10.1016/j.aml.2007.08.008    
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Copyright © 2007 Elsevier Ltd All rights reserved.

On the recursive sequence View the MathML source

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Stevo Stevića, E-mail The Corresponding Author, E-mail The Corresponding Author

aMathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, 11000 Beograd, Serbia


Received 15 July 2006; 
accepted 14 August 2007. 
Available online 11 September 2007.

Abstract

This work studies the boundedness and global attractivity for the positive solutions of the difference equation

View the MathML source
with p,cset membership, variant(0,∞). It is shown that: (a) there exist unbounded solutions whenever p≥4, (b) all positive solutions are bounded when pset membership, variant(0,4), (c) every positive solution is eventually equal to 1 when pset membership, variant(0,4) and c≥1, (d) all positive solutions converge to 1 whenever p,cset membership, variant(0,1).

Keywords: Max type difference equations; Boundedness; Difference equation; Global attractivity

Article Outline

1. Introduction
2. Boundedness character for Eq. (5)
2.1. Case p≥4
2.2. Case pset membership, variant(0,4)
3. Global stability for the case pset membership, variant(0,1)
References

Applied Mathematics Letters
Volume 21, Issue 8, August 2008, Pages 791-796
 
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