New solvable class of product-type systems of difference equations on the complex domain and a new method for proving the solvability

Abstract

This paper continues the investigation of solvability of product-type systems of difference equations, by studying the following system with two variables: (Formula Presented) where a, b, c, d (Formula Presented). It is shown that there are some important cases such that the system cannot be solved by using our previous methods. Hence, we also present a method different from the previous ones by which the solvability of the system is shown also in the cases.