Authors: | Stević, Stevo | Title: | Representation of solutions of bilinear difference equations in terms of generalized fibonacci sequences | Journal: | Electronic Journal of Qualitative Theory of Differential Equations | Volume: | 2014 | First page: | 1 | Last page: | 15 | Issue Date: | 1-Jan-2014 | Rank: | M21 | ISSN: | 1417-3875 | DOI: | 10.14232/ejqtde.2014.1.67 | Abstract: | Well-defined solutions of the bilinear difference equation are represented in terms of generalized Fibonacci sequences and the initial value. Our results extend and give natural explanations of some recent results in the literature. Some applications concerning a two-dimensional system of bilinear difference equations are also given. |
Keywords: | Bilinear difference equation | Generalized fibonacci sequence | Solvable difference equation | Publisher: | Bolyai Institute, University of Szeged |
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