On solvability of a two-dimensional symmetric nonlinear system of difference equations

Abstract

We show that the system of difference equations (Formula presented.) where $kN, lN_0, l<k, e,fC,$ and $xj,yjC, j=0,k1$, is theoretically solvable and present some cases of the system when the general solutions can be found in a closed form.We show that the system of difference equations (Formula presented.) where $kN, lN_0, l<k, e,fC,$ and $xj,yjC, j=0,k1$, is theoretically solvable and present some cases of the system when the general solutions can be found in a closed form.