On the Solutions of a General System of Difference Equations

Abstract

We deal with the solutions of the systems of the difference equations xn+1=1/xn-pyn-p, yn+1=xn-pyn-p/xn-qyn-q, and xn+1=1/xn-pyn-pzn-p, yn+1=xn-pyn-pzn-p/xn-qyn-qzn-q, zn+1=xn-qyn-qzn-q/xn-ryn-rzn-r, with a nonzero real numbers initial conditions. Also, the periodicity of the general system of k variables will be considered.