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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