On some systems of difference equations

General k-Dimensional Solvable Systems of Difference Equations

“…The transformation in (15), as well as its inverse one, maps the sets of k-dimensional Lebesgue measure zero to sets of measure zero, since T is a nonsingular matrix. Note also that the set S := (w 1 , w 2 , .…”

“…A related solvable system of difference equations was treated in [12]. Since that time various modifications of the method have been often used (see [13,14] and the references therein for some related difference equations, as well as [15][16][17] and the references therein for some related systems of difference equations). It should be pointed out that the systems are usually symmetric or close-to-symmetric, whose study was popularized by Papaschinopoulos and Schinas ( [18][19][20][21][22][23][24]).…”

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

“…Books [6,[12][13][14][15][16] contain some old information in the subfield. Some recent ones can be found, for example, in the following papers: [5,27,[31][32][33][34][35][36][37][38][39][40][41][42][43] (see also numerous references therein). For some related results and applications of solvable difference equations and systems, see also [1][2][3][4].…”

“…One of our transformations has had some impact in the recent interest. For more information, see, for example, [5,27,34], and the related references therein. Beside the line of investigation, there have been some other several ones which also use some related ideas.…”

“…Generally speaking, above mentioned lines of investigations use the method of transformation in solving the equations and systems therein. In many of these papers obtained formulas for the solutions to the equations and systems studied therein are used in describing their long-term behavior (for example, in [5,39]). …”