On a System of Two Nonlinear Difference Equations

Boundary Value Problems for Some Important Classes of Recurrent Relations with Two Independent Variables

“…Since that time, related transformations have been frequently used on difference equations ( [14][15][16]), as well as on close to symmetric systems (see [15,17,18] and numerous references therein), an area essentially initiated by Papaschinopoulos and Schinas (see [19][20][21][22][23][24][25]). Somewhat more complex methods can be found in [26].…”

Solvability of the Class of Two-Dimensional Product-Type Systems of Difference Equations of Delay-Type (1, 3, 1, 1)

“…Some of the papers which have had some impact on the growing interest in the subfield are [19][20][21] by Papaschinopoulos and Schinas. One of their main ideas is to consider symmetric systems of difference equations obtained from the following scalar one x n = f (x n−k , x n−l ), n ∈ N 0 , where k, l ∈ N, k = l, for concrete values of function f , that is, to study some concrete systems of difference equations of one of the following forms x n = f (x n−k , y n−l ), y n = f (y n−k , x n−l ),…”

Solvable Three-Dimensional Product-Type System of Difference Equations with Multipliers

“…In [1], a solvable equation is studied in another way. Motivated, essentially, by papers [11][12][13], several experts started investigating symmetric, cyclic and other closely related systems of difference equations, which we frequently call close-to-symmetric/cyclic (see, for example, [3,[14][15][16][17][21][22][23][24][25][27][28][29][30][31][32][33] and the references therein). As it can be seen, many of the above quoted papers belong to both areas, that is, they deal with some solvable close-to-symmetric systems of difference equations.…”