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The form of the solutions of fourth order rational systems of difference equations

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1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Kingdom of Saudi Arabia2Department of Mathematics, Faculty of Science, Jeddah University, Jeddah, Kingdom of Saudi Arabia.3Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt.

* Corresponding Author: M. T. Alharthi. Email: miami-992@hotmail.com

Annals of Communications in Mathematics 2022, 5 (3), 161-180. https://doi.org/10.62072/acm.2022.050304

Received: 5 Oct 2022 |

Accepted: 15 Nov 2022 |

Published: 31 Dec 2022

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Abstract

In this paper, we get the form of the solutions of the following difference equation systems of order four where the initial conditions z−3, z−2, z−1, z0, w−3, w−2, w−1, w0 are arbitrary nonzero real numbers.

Keywords

Difference equation; Recursive sequences; system of difference equations

Cite This Article

E. M. Alasyed, M. T. Alharthi.

The form of the solutions of fourth order rational systems of difference equations.

Annals of Communications in Mathematics

2022,

5 (3):

161-180.

https://doi.org/10.62072/acm.2022.050304

Copyright © 2022 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).