Solvability of eight classes of nonlinear systems of difference equations

We have studied recently solvability and semi-cycles of eight systems of difference equations of the following form: x(n)=a+p(n-1)q(n-2)/p(n-1)+q(n-2), y(n)=a+r(n-1)s(n-2r)/r(n-1)+s(n-2), n is an element of N-0, where a is an element of [0, + infinity), the sequences p(n), q(n), r(n), s(n) are some of the sequences x(n) and y(n), 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.