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Nisreen A. Bukhary and Elsayed M. Elsayed, An investigation of the solutions for rational systems of difference equations of order two, Eur. J. Math. Appl. 4 (2024), Article ID 1.

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Volume 4 (2024), Article ID 1

https://doi.org/10.28919/ejma.2024.4.1

Published: 09/01/2024

Abstract:

This paper is concerned to investigate the form of the solutions of the following systems of difference equations of second order.
$$\mu_{n+1}=\frac{\mu_{n}\omega_{n-1}}{\pm \omega_{n-1} \pm \mu_{n-1}}, \ \ \ \omega_{n+1}=\frac{\omega_{n}\mu_{n-1}}{\pm \mu_{n-1} \pm \omega_{n-1}}, \ \ \ n=0, 1, …,$$
where the initial conditions are arbitrary nonzero real numbers. Moreover, we verify our theoretical outcomes at the end with some numerical applications and draw them using some mathematical programs to illustrate the results.

How to Cite:

Nisreen A. Bukhary and Elsayed M. Elsayed, An investigation of the solutions for rational systems of difference equations of order two, Eur. J. Math. Appl. 4 (2024), Article ID 1. https://doi.org/10.28919/ejma.2024.4.1