Periodic solutions and stability of eighth order rational difference equations
Volume 26, Issue 4, pp 405--417
http://dx.doi.org/10.22436/jmcs.026.04.08
Publication Date: January 14, 2022
Submission Date: September 18, 2021
Revision Date: December 26, 2021
Accteptance Date: January 01, 2022
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Authors
M. B. Almatrafi
- Department of Mathematics, Faculty of Science, Taibah University, Saudi Arabia.
M. M. Alzubaidi
- Department of Mathematics, College of Duba, University of Tabuk, Saudi Arabia.
Abstract
Some real life problems are modeled using difference equations. Extracting the exact solutions of such equations is an active topic for some scientists. This paper investigates the equilibrium points, stability, boundedness, periodicity, and some exact solutions for eighth order rational difference equations. The exact solutions are obtained using the iterations method. We also present some 2D figures to show the validity of the obtained results. The used methods can be applied for other nonlinear difference equations.
Share and Cite
ISRP Style
M. B. Almatrafi, M. M. Alzubaidi, Periodic solutions and stability of eighth order rational difference equations, Journal of Mathematics and Computer Science, 26 (2022), no. 4, 405--417
AMA Style
Almatrafi M. B., Alzubaidi M. M., Periodic solutions and stability of eighth order rational difference equations. J Math Comput SCI-JM. (2022); 26(4):405--417
Chicago/Turabian Style
Almatrafi, M. B., Alzubaidi, M. M.. "Periodic solutions and stability of eighth order rational difference equations." Journal of Mathematics and Computer Science, 26, no. 4 (2022): 405--417
Keywords
- Equilibrium points
- stability
- boundedness
- exact solution
- numerical solution
MSC
- 39A10
- 39A33
- 39A30
- 39A23
- 39A22
- 39A06
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