On a system of difference equations

摘要

We show that the system of difference equationsxn+1=axn-1bynxn-1+c,yn+1=αyn-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.