On the Periodicity of Solutions of the System of Rational Difference Equations

Abstract

In this paper, we have investigated the periodicity of the solutions of the system of difference equations , where

On the Solutions and Periodic Nature of Some Systems of Difference Equations

“…The positive solutions' behavior of the following system x n+1 = x n−1 1 + x n−1 y n y n+1 = y n−1 1 + y n−1 x n has been investigated by Kurbanli et al 18 Mansour et al 20 looked at the behavior of the solutions of the difference equations systems…”

Some General Systems of Rational Difference Equations

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We investigate behavior of solutions of the following systems of rational difference equations:where is a positive integer and the initial conditions are real numbers. We show that every solution is periodic with 6 period, considerably improving the results in the literature.Similar systems of rational difference equations were investigated (see, e.g., [8][9][10][11][12][13][14][15]).

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“…Similar systems of rational difference equations were investigated (see, e.g., [8][9][10][11][12][13][14][15]).…”

On the solutions and periodicity of some nonlinear systems of difference equations

“…The behavior of positive solutions of the following system x n+1 = x n−1 1 + x n−1 y n , y n+1 = y n−1 1 + y n−1 x n was studied by Kurbanli et al [24].…”