Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: A note on general solutions to a hyperbolic-cotangent class of systems of difference equations
Journal: Advances in Difference Equations
Volume: 2020
First page: 693
Issue Date: 9-Dec-2020
Rank: M21a
ISSN: 1687-1847
DOI: 10.1186/s13662-020-03155-1
Recently there has been some interest in difference equations and systems whose forms resemble some trigonometric formulas. One of the classes of such systems is the so-called hyperbolic-cotangent class of systems of difference equations. The corresponding two-dimensional class has two delays denoted by k and l. So far the class has been studied for the case k≠ l, and it was shown that it is practically solvable when max { k, l} ≤ 2. In this note we show practical solvability of the system in the case k= l, not only for small values of k and l, but for all k= l∈ N, which is the first result of such generality.
Keywords: Practical solvability | Solvable systems | System of difference equations
Publisher: Springer Link

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