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∈N0, p∈N, i∈{1,..., p},
where N0=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.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.
Cite this article
A. Ghezal, I. Zemmouri, On a solvable p-dimensional system of nonlinear difference equations, J. Math. Comput. Sci. 12 (2022), 195. https://doi.org/10.28919/jmcs/7707
BibTeX
@article{Ghezal2022,
author = {Ghezal, Ahmed and Zemmouri, Imane},
title = {On a solvable p-dimensional system of nonlinear difference equations},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {195},
doi = {10.28919/jmcs/7707}
}