Solvability of eight classes of nonlinear systems of difference equations

다국어 초록 (Multilingual Abstract)

We have studied recently solvability and semi‐cycles of eight systems of difference equations of the following form:


xn=a+pn−1qn−2pn−1+qn−2,yn=a+rn−1sn−2rn−1+sn−2,n∈N0,
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.