| Authors: | Stević, Stevo Diblík, Josef Iričanin, Bratislav Šmarda, Zdeněk |
Title: | Solvability of nonlinear difference equations of fourth order | Journal: | Electronic Journal of Differential Equations | Volume: | 2014 | Issue Date: | 22-Dec-2014 | Rank: | M22 | URL: | https://ejde.math.txstate.edu/Volumes/2014/264/stevic.pdf | Abstract: | In this article we show the existence of solutions to the nonlinear difference equation (Formula Presented.) where the sequences (an)nєN0 and (bn) nєN0, and initial the values x-j, j = 1, 4, are real numbers. Also we find the set of initial values for which solutions are undefinable when an ≠0 and bn ≠0 for every n є ℕo. When these two sequences are constant, we describe the long-term behavior of the solutions in detail. |
Keywords: | Long-term behavior of solutions | Solution to difference equation | Undefinable solutions | Publisher: | Texas State University - San Marcos | Project: | Operational Programme Research and Development for Innovations, No. CZ.1.05/2.1.00/03.0097 (AdMaS). Brno University of Technology, Project no. FEKT-S-14-2200 Modulation of intracellular energy balance-controlling signalling pathways in therapy of cancer and neuro-immuno-endocrine disorders 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 Physical and functional effects of radiation interaction with electrotechnical and biological systems |
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