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

oleh: Kholoud N. Alharbi, E. M. Elsayed

Format: Article
Diterbitkan: Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila 2022-06-01

Deskripsi

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.