On the periodicity of a difference equation with maximum

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Tarih

2008

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HINDAWI LTD

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

We investigate the periodic nature of solutions of the max difference equation x(n+1) = max{x(n), A}/(x(n)x(n-1)), n = 0, 1,..., where A is a positive real parameter, and the initial conditions x(-1) = A(r-1) and x(0) = A(r0) such that r(-1) and r(0) are positive rational numbers. The results in this paper answer the Open Problem 6.2 posed by Grove and Ladas (2005). Copyright (c) 2008 Ali Gelisken et al.

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Kaynak

DISCRETE DYNAMICS IN NATURE AND SOCIETY

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Q2

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Q3

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