| Authors: | Stević, Stevo Iričanin, Bratislav Kosmala, Witold |
Affiliations: | Mathematics Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | SOLVABILITY OF A NONLINEAR DIFFERENCE EQUATION OF THE FIFTEENTH ORDER | Journal: | Journal of Mathematical Inequalities | Volume: | 18 | Issue: | 3 | First page: | 1159 | Last page: | 1170 | Issue Date: | 2024 | Rank: | ~M21a | ISSN: | 1846-579X | DOI: | 10.7153/jmi-2024-18-65 | Abstract: | We find some closed-form formulas for the general solution to the difference equation (Formula presented) where (Formula presented) and (Formula presented), explaining the formulas for the four special cases of the difference equation which have appeared quite recently in the literature. We also give several comments on the claims on the behaviour of solutions to the four difference equations given therein, as well as some counterexamples. |
Keywords: | closed-form formula | Nonlinear difference equation | solvable difference equation | Publisher: | Element D.O.O. | Project: | This work was partially supported by the Ministry of Science, Techno- logical Development and Innovation of the Republic of Serbia under contract number: 451-03-65/2024-03/200103. This research is also partially supported by the Science Fund of the Republic of Serbia, # GRANT No 7632, Project “Mathematical Methods in Image Processing under Uncertainty” – MaMIPU. |
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