On a solvable system of rational difference equations

Solvability of a nonlinear fifth‐order difference equation

“…To do this, we will use and develop our methods and ideas originating in the study of Stević, 5 which were later used and developed, for example, in the studies of Papaschinopoulos and Stefanidou and Stević. 8,[34][35][36][37][38][39][40] In this way, we, among other things, show that the results in the study of Elsayed 61 follow from essentially known ones in a relatively easy way. It is also interesting to note that 61 does not give any representation of solutions in terms of some specific sequences, such as the Fibonacci one, 2,62-65 which has been a frequent recent case (see the studies of Stević 28,66,67 and the related references therein).…”

“…It is interesting to note that Equation 12 is also reduced to Equation 21, as it was essentially the case with the difference equations and systems in the studies of Papaschinopoulos and Stefanidou and Stević,4,8,9,29,34,35,[37][38][39][40] which shows frequent appearance of the equation in theory of solvability of difference equations and systems of difference equations, as well as its importance.…”

More on a hyperbolic‐cotangent class of difference equations

“…The same idea was later used for several other classes of difference equations and systems. [23][24][25][31][32][33][34] The systems studied therein are usually symmetric or close-to-symmetric ones, whose study was popularized by Papaschinopoulos and Schinas. [35][36][37][38][39][40][41][42][43] In some of their papers, [36][37][38]42 the solvability and the long-term behaviour of solutions to the equations and systems by finding their invariants were studied.…”

“…not only for every n ∈ N but also for every n ∈ Z. Difference equations and systems possessing some kind of symmetries have been studied considerably (see the previous studies 8,9,11,23,24,[30][31][32]34,[36][37][38][39][40]42,[54][55][56][57][58][59][60][61]72 and the references therein).…”

Explicit Solutions of a Three-dimensional System of Nonlinear Difference Equations

“…Particularly, there have been a renewed interest on solvable ones of such equations and systems. For example, published papers on solvability of some types can be found in the references [5][6][10][11][12][13][14]28,31]. Additionally, there are some equations and systems whose solvability are newly discovered.…”