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On the Solutions of a System of Third-Order Rational Difference Equations
Journal article   Open access  Peer reviewed

On the Solutions of a System of Third-Order Rational Difference Equations

A. M. Alotaibi, M. S. M. Noorani and M. A. El-Moneam
Discrete dynamics in nature and society, Vol.2018, pp.1-11
01/01/2018
DOI: https://doi.org/10.1155/2018/1743540

Abstract

Mathematics Mathematics, Interdisciplinary Applications Multidisciplinary Sciences Physical Sciences Science & Technology Science & Technology - Other Topics
The structure of the solutions for the system nonlinear difference equations x(n+1) = y(n)y(n-2)/(x(n-1) + y(n-2)), y(n+1 )= x(n)x(n-2)/(+/- y(n-1) +/- x(n-2)), n = 0, 1, . . . , is clarified in which the initial conditions x(-2), x(-1), x(0), y(-2), y(-1), y(0) are considered as arbitrary positive real numbers. To exemplify the theoretical discussion, some numerical examples are presented.
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https://doi.org/10.1155/2018/1743540View
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