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On the periodicity of solutions of max-type difference equation
Journal article   Peer reviewed

On the periodicity of solutions of max-type difference equation

M. M. El-Dessoky
Mathematical methods in the applied sciences, Vol.38(15), pp.3295-3307
10/2015
DOI: https://doi.org/10.1002/mma.3296

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper is devoted to study the periodic nature of the solution of the following max-type difference equation: x(n+1) = max {A(n)/x(n-1),x(n-2)}, n = 0, 1, . . ., where the initial conditions x(-2), x(-1), x(0) are arbitrary positive real numbers and {A(n)}(n=0)(infinity) is a periodic sequence of period two. Copyright (C) 2014 John Wiley & Sons, Ltd.

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