The expressions and behavior of solutions for nonlinear systems of rational difference equations

Main Article Content

Kholoud N. Alharbi
https://orcid.org/0000-0002-2591-5341
E. M. Elsayed
https://orcid.org/0000-0003-0894-8472

Abstract

In this paper, we investigate the form of the solutions of the following systems of difference equations of second order


xn+1xn+1==xnyn−1xn+yn,yn+1=xn−1ynxn+yn,xnyn−1xn−yn,yn+1=xn−1ynxn−yn,   n=0,1,...,xn+1=xnyn−1xn+yn,yn+1=xn−1ynxn+yn,xn+1=xnyn−1xn−yn,yn+1=xn−1ynxn−yn,   n=0,1,...,


where the initial conditions x−1, x0, y−1 x−1, x0, y−1  and  y0 y0 are arbitrary nonzero real numbers.

Downloads

Download data is not yet available.

Article Details

How to Cite
[1]
Alharbi, K.N. and Elsayed, E.M. 2022. The expressions and behavior of solutions for nonlinear systems of rational difference equations. Journal of Innovative Applied Mathematics and Computational Sciences. 2, 1 (Jun. 2022), 78–91.
Section
Research Articles