Two-dimensional product-type systems of difference equations of delay-type (2,2,1,2)

Abstract

We prove that the following class of systems of difference equations is solvable in closed form: (Formula Presented) where (Formula Presented). We present formulas for its solutions in all the cases. The most complex formulas are presented in terms of the zeros of three different associated polynomials to the systems corresponding to the cases a = 0, c = 0 and abcd ≠ 0, respectively, which on the other hand depend on some of parameters a, b, c, d.