Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: New classes of hyperbolic-cotangent–type systems of difference equations solvable in closed form
Journal: Mathematical Methods in the Applied Sciences
Issue Date: 22-Oct-2020
Rank: M21
ISSN: 0170-4214
DOI: 10.1002/mma.6972
Abstract: 
In the case of homogeneous linear difference equations with constant coefficients, only a relatively small part of the equations is practically solvable. This is connected to impossibility to solve all polynomial equations of degree bigger than four. In the case of nonlinear difference equations and systems the situation is even worse. So it is of interest to find new classes of practically solvable difference equations and systems. Recently, there have been presented several classes of practically solvable hyperbolic-cotangent–type systems of difference equations. Here, we present a new class of solvable systems of this type. It is a bit surprising that all the systems in the class are practically solvable, especially since several special cases are connected to some polynomials of degree eight.
Keywords: general solution | hyperbolic-cotangent–type systems | solvable difference equation | system of difference equations
Publisher: Wiley

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