Expressions and dynamical behavior of solutions of eighteenth-order of a class of rational difference equations
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.
Share and Cite
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
Keywords
- Recursive sequence
- oscillation
- semicycles
- stability
- periodicity
- solutions of difference equations
MSC
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