On a practically solvable product-type system of difference equations of second order

Abstract

The problem of solvability of the following second order system of difference equations z(n+1) = alpha Z(n)(a)w(n)(b), w(n+1) = beta w(n)(c)z(n-1)(d), n is an element of N-0, where a, b, c, d is an element of Z, alpha, beta is an element of C \ {0}, z(-1), z(0), w(0) is an element of C \ {0}, is studied in detail.