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Periodicity and solutions for some systems of nonlinear rational difference equations
Journal article   Peer reviewed

Periodicity and solutions for some systems of nonlinear rational difference equations

E. M. Elsayed and T. F. Ibrahim
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, Vol.44(6), pp.1361-1390
01/12/2015

Abstract

Mathematics Physical Sciences Science & Technology Statistics & Probability
In this paper, we investigated the periodic nature and the form of the solutions of nonlinear difference equations systems of order three x(n+1) = x(n) 2y(n) 1/y(n) (+/- 1 +/- x(n - 2)y(n - 1)), y(n+1) = y(n - 2)x(n - 1)/x(n) (+/- 1 +/- y(n - 2)x(n - 1)), with initial conditions x(-2), x(-1), x(0), y(-2), y(-1) and y(0) are nonzero real numbers.

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