The Form of Solutions and Periodic Nature for Some System of Difference Equations

Abstract

In this paper we study the form of the solution of the following systems of difference equations of order two xn+1 = (x_{n}*y{n−1})/(x_{n}+y_{n-1}) , yn+1 =( y_{n}*x_{n-1})/(\pm y_{n} \pm x_{n-1})
 
 with nonzero real numbers initial conditions.

An investigation of the solutions for rational systems of difference equations of order two

“…In addition, other related results to the difference equations and nonlinear system of rational difference equations can be found in Ref. [11]- [16] and the references cited therein.…”