Authors: Berenhaut, Kenneth
Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A note on the difference equation
Journal: Journal of Difference Equations and Applications
Volume: 11
Issue: 14
First page: 1225
Last page: 1228
Issue Date: 1-Jan-2005
Rank: M22
ISSN: 1023-6198
DOI: 10.1080/10236190500331370
Abstract: 
In this note we show that every positive solution of the equationconverges to a period-three solution. This result confirms Conjecture 5.4.5 in M.R.S. Kulenovic and G. Ladas, 2002, Dynamics of Second Order Rational Difference Equations (Chapman & Hall/CRC).
Keywords: Difference equation | Positive solutions | Stability | Three-periodic solution
Publisher: Taylor & Francis

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