Expressions and dynamical behavior of solutions of eighteenth-order of a class of rational difference equations

Volume 28, Issue 3, pp 258--269 http://dx.doi.org/10.22436/jmcs.028.03.04
Publication Date: June 26, 2022 Submission Date: December 21, 2021 Revision Date: April 11, 2022 Accteptance Date: May 21, 2022

Authors

L. Sh. Aljoufi - Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka, Jouf , Saudi Arabia. S. A. Mohammady - Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka, Jouf , Saudi Arabia. - Department of Mathematics, Faculty of Science, Helwan University, Helwan 11795, Jouf, Egypt. A. M. Ahmed - Department of Mathematics, Faculty of Science, Al Azhar University, Nasr City 11884, Cairo, Egypt.


Abstract

The aim of this work is to obtain the forms of the solutions of the following nonlinear eighteenth-order difference equations \[ x_{n+1}=\frac{x_{n-17}}{\pm 1\pm x_{n-2}x_{n-5}x_{n-8}x_{n-11}x_{n-14}x_{n-17}},\ \ \ \ n=0,1,2,\ldots, \] where the initial conditions \(x_{-17},x_{-16},\ldots,x_{0}\) are arbitrary real numbers. Moreover, we investigate stability, boundedness, oscillation, and the periodic character of these solutions. Finally, we confirm the results with some numerical examples and graphs by using Matlab program.


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ISRP Style

L. Sh. Aljoufi, S. A. Mohammady, A. M. Ahmed, Expressions and dynamical behavior of solutions of eighteenth-order of a class of rational difference equations, Journal of Mathematics and Computer Science, 28 (2023), no. 3, 258--269

AMA Style

Aljoufi L. Sh., Mohammady S. A., Ahmed A. M., Expressions and dynamical behavior of solutions of eighteenth-order of a class of rational difference equations. J Math Comput SCI-JM. (2023); 28(3):258--269

Chicago/Turabian Style

Aljoufi, L. Sh., Mohammady, S. A., Ahmed, A. M.. "Expressions and dynamical behavior of solutions of eighteenth-order of a class of rational difference equations." Journal of Mathematics and Computer Science, 28, no. 3 (2023): 258--269


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