### On a solvable p-dimensional system of nonlinear difference equations

#### Abstract

In this paper, we investigate the solutions of the following system of p−nonlinear difference equations

x^{(i)}_{n+1} = a^{(i)}x^{(i+1)mod(p)}_{n} x^{(i+1)mod(p)}_{n}_{−2} / b^{(i)}x^{(i)}_{n}_{−1} +c^{(i)}x^{(i+1)mod(p)}_{n}_{−2}, n∈N_{0}, p∈N, i∈{1,..., p},

_{0}=N∪{0}, the sequences (a

^{(i)}), (b

^{(i)}), (c

^{(i)}), are non-zero real numbers and initial values x

^{(i)}

_{−j}, j∈{0,1,2}, i∈{1,..., p}. Finally, we give some applications concerning aforementioned system of difference equations.

**Published:**2022-10-24

**How to Cite this Article:**Ahmed Ghezal, Imane Zemmouri, On a solvable p-dimensional system of nonlinear difference equations, J. Math. Comput. Sci., 12 (2022), Article ID 195 Copyright © 2022 Ahmed Ghezal, Imane Zemmouri. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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