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E. M. Elasyed, M. T. Alharthi, On the solutions and the periodicity of some rational difference equations systems, Eur. J. Math. Appl. 3 (2023), Article ID 4.

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Volume 3 (2023), Article ID 4

https://doi.org/10.28919/ejma.2023.3.4

Published: 27/02/2023

Abstract:

In this paper, we get the form of the solutions of the following difference
equation systems of order three

\begin{equation*}
z_{n+1}=\frac{w_{n}w_{n-2}}{z_{n-1}(1+w_{n}w_{n-2})}, w_{n+1}=
\frac{z_{n}z_{n-2}}{w_{n-1}(\pm 1\pm z_{n}z_{n-2})},
\end{equation*}
where the initial conditions $z_{-2,}$ $z_{-1,}$ $z_{0},w_{-2,}$ $w_{-1,}$ $%
w_{0}$ are arbitrary non-zero real numbers.

How to Cite:

E. M. Elasyed, M. T. Alharthi, On the solutions and the periodicity of some rational difference equations systems, Eur. J. Math. Appl. 3 (2023), Article ID 4. https://doi.org/10.28919/ejma.2023.3.4