On a system of difference equations

Abstract

We show that the system of difference equationsxn+1=ax n-1bynxn-1+c,yn+1=αy n-1βxnyn-1+γ, n∈ℕ0,where the parameters a, b, c, α, β, γ and initial values x-1, x0, y-1, y0 are real numbers, can be solved, considerably improving the results in the literature.