Solvability of eight classes of nonlinear systems of difference equations

Abstract

We have studied recently solvability and semi-cycles of eight systems of difference equations of the following form:. (Formula presented.) where a ∈ [0, + ∞), the sequences pn, qn, rn, sn are some of the sequences xn and yn, with positive initial values x−j,y−j, j = 1,2, in detail. This paper is devoted to the study of the other eight systems of the form. We show that these systems are also solvable in closed form and describe semi-cycles of their solutions complementing our previous results on such systems of difference equations.