Authors: | Stević, Stevo Diblík, Josef Iričanin, Bratislav Šmarda, Zdeněk |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On the difference equation x n = a nx n-k/(b n + c nx n-1⋯x n-k) | Journal: | Abstract and Applied Analysis | Volume: | 2012 | Issue Date: | 18-Sep-2012 | Rank: | M21a | ISSN: | 1085-3375 | DOI: | 10.1155/2012/409237 | Abstract: | The behavior of well-defined solutions of the difference equation x n = a nx n-k/(b n + c nx n-1⋯x n-k), n ∈ ℕ 0, where k ∈ ℕ is fixed, the sequences a n, b n and c n are real, (b n, c n) ≠ (0,0), n ∈ ℕ 0, and the initial values x -k, ⋯, x -1 are real numbers, is described. © 2012 Stevo Stević et al. |
Publisher: | Hindawi | Project: | Czech Grant Agency, Grant P201/10/1032 Council of Czech Government, Grant MSM 00 216 30519 Brno University of Technology, Grant FEKT-S-11-2-921 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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