Periodic solutions of arbitrary length in a simple integer iteration

<p>We prove that all solutions to the nonlinear second-order difference equation in integers <mml:math alttext="$y_{n+1}=lceil ay_{n} ceil -y_{n-1}$"> <mml:mrow> <mml:msub> <mml:mi>y</mml:mi> <mml:mrow> <mml:mi>n</mml:mi><mml:mo...

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Bibliographic Details
Format: Article
Language:English
Published: SpringerOpen 2006-01-01
Series:Advances in Difference Equations
Online Access:http://www.hindawi.com/GetArticle.aspx?doi=10.1155/ADE/2006/35847