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 | Abstract: | 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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