| Authors: | Berenhaut, Kenneth Dice, Jennifer Foley, John Iričanin, Bratislav Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | Periodic solutions of the rational difference equation yn = yn-3+yn-4/yn-1 | Journal: | Journal of Difference Equations and Applications | Volume: | 12 | Issue: | 2 | First page: | 183 | Last page: | 189 | Issue Date: | 1-Jan-2006 | Rank: | M21 | ISSN: | 1023-6198 | DOI: | 10.1080/10236190500539295 | Abstract: | This paper studies the behavior of positive solutions of the recursive equationwith We prove that every positive solution { y i } converges to a period two solution or to the equilibrium . This result answers Open Problem 11.4.8 (a) in Kulenovic and Ladas, 2002 Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures (Boca Raton:Chapman and Hall/CRC). |
Keywords: | Difference equation | Periodicity | Positive solution | Two cycle | Publisher: | Taylor & Francis |
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