A note on the periodicity of the Lyness max equation

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Tarih

2008

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PUSHPA PUBLISHING HOUSE

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We investigate the periodic nature of solutions of a "max-type" difference equation sometimes referred to as the "Lyness max" equation. The equation we consider is x(n+1) = max{x(n), A}/x(n-1). where A is a positive real parameter, x - 1 = A(r-1), and x(0) = A(ro) such that r(-1) and r(0) are positive rational numbers. The results in this paper answer the Open Problem of Grove and Ladas (2005). Copyright (c) 2008 Ali Gelisken et al.

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Kaynak

ADVANCES IN DIFFERENCE EQUATIONS

WoS Q Değeri

Q3

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Q2

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