Open AccessArticle

Behavior and formula of the solutions of rational difference equations of order six

and

1Department of Mathematics, Faculty of Sciences, Taif University, P. O. Box 11099, Taif 21944, KSA.2Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, KSA.3Department of Mathematics, Faculty of Sciences, Mansoura University, Mansoura 35516, Egypt.

* Corresponding Author: J. G. AL-Juaid. Email:

Annals of Communications in Mathematics 2023, 6 (2), 72-85. https://doi.org/10.62072/acm.2023.060201

Received: 17 Mar 2023 |

Accepted: 21 April 2023 |

Published: 30 Jun 2023

Download PDF

Abstract

This paper is devoted to find the form of the solution of the following rational difference equations : xn+1 = xn−3xn−5 xn−1(±1 ± xn−3xn−5) , where the initial conditions x−5, x−4, x−3, x−2, x−1, x0 are arbitrary non zero real numbers. Also, we study the behavior of the solutions.

Keywords

Difference equation; Local stability; Recursive sequences

Cite This Article

J. G. AL-Juaid, E. M. Elsayed, H. Malaikah.

Behavior and formula of the solutions of rational difference equations of order six.

Annals of Communications in Mathematics

2023,

6 (2):

72-85.

https://doi.org/10.62072/acm.2023.060201

Copyright © 2023 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/).