On a system of difference equations with period two coefficients

Abstract

We show that the system of difference equationsxn+1= anxn-1bnynxn-1+ cn,yn+1=αnyn-1βnxnyn-1+γn, n∈N0,where the sequences an, bn, c n, αn, βn, γn are two-periodic and initial values x-1, x0, y-1, y0 are real numbers, can be solved.