Abstract
A solvable class of product-type systems of difference equations with two dependent variables on the complex domain is presented. The main results complement some recent ones in the literature, while their proofs contain some refined methodological details. We provide closed form formulas for general solutions to the system or give procedures for how to get them.
Highlights
1 Introduction Nonlinear difference equations and systems have been studied a lot in the last few decades
Two of the topics of recent interest are symmetric and closely related systems, whose investigation was considerably influenced by some papers by Papaschinopoulos and Schinas, and the solvable difference equations and systems
Some of the equations and systems that we have studied recently, such as the ones in [ ] and [ ], are obtained by adding constants to the right-hand sides of some product-type equations/systems or by taking the maximum of some constants and the right-hand sides of the equations/systems
Summary
Nonlinear difference equations and systems have been studied a lot in the last few decades (see, e.g., [ – ]). We have observed the fact that there are only a few solvable product-type systems of difference equations with two dependent variables.
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