On a solvable system of rational difference equations

Abstract

We show that the following system of difference equationswhere, and sequences, and are real, can be solved in closed form. For the case when the sequences, and are constant and, we apply obtained formulas in the investigation of the asymptotic behaviour of well-defined solutions of the system. We also find domain of undefinable solutions of the system. Our results considerably extend and improve some recent results in the literature.