Authors: | Stević, Stevo Iričanin, Bratislav Kosmala, Witold Šmarda, Zdeněk |
Title: | Solvability of a nonlinear fifth-order difference equation | Journal: | Mathematical Methods in the Applied Sciences | Volume: | 42 | Issue: | 5 | First page: | 1687 | Last page: | 1701 | Issue Date: | 30-Mar-2019 | Rank: | M21 | ISSN: | 0170-4214 | DOI: | 10.1002/mma.5467 | Abstract: | Some formulas for well-defined solutions to four very special cases of a nonlinear fifth-order difference equation have been presented recently in this journal, where some of them were proved by the method of induction, some are only quoted, and no any theory behind the formulas was given. Here, we show in an elegant constructive way how the general solution to the difference equation can be obtained, from which the special cases very easily follow, which is also demonstrated here. We also give some comments on the local stability results on the special cases of the nonlinear fifth-order difference equation previously publish in this journal. |
Keywords: | general solution | linear first-order difference equation | nonlinear difference equation | solvability | Publisher: | Wiley | Project: | Modulation of intracellular energy balance-controlling signalling pathways in therapy of cancer and neuro-immuno-endocrine disorders Physical and functional effects of radiation interaction with electrotechnical and biological systems Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education Brno University of Technology, Project FEKT-S-17-4225 |
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