On the Global Attractivity of a Max-Type Difference Equation

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Tarih

2009

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HINDAWI PUBLISHING CORPORATION

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info:eu-repo/semantics/openAccess

Özet

We investigate asymptotic behavior and periodic nature of positive solutions of the difference equation x(n) = max{A/x(n-1), 1/x(n-3)(alpha)}, n = 0, 1, . . . , where A > 0 and 0 < alpha < 1. We prove that every positive solution of this difference equation approaches (x) over bar = 1 or is eventually periodic with period 2. Copyright (C) 2009

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DISCRETE DYNAMICS IN NATURE AND SOCIETY

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Q1

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