Authors: | Stević, Stevo | Title: | General solutions to four classes of nonlinear difference equations and some of their representations | Journal: | Electronic Journal of Qualitative Theory of Differential Equations | Volume: | 2019 | Issue Date: | 1-Jan-2019 | Rank: | M21a | ISSN: | 1417-3875 | DOI: | 10.14232/ejqtde.2019.1.75 | Abstract: | We present general solutions to four classes of nonlinear difference equations, as well as some representations of the general solutions for two of the classes in terms of specially chosen solutions to linear homogeneous difference equations with constant coefficients which are naturally associated to the equations of the classes. Our main results considerably generalize some very special ones in recent literature, and present concrete methods for solving the equations. |
Keywords: | Difference equation | Representation of general solution | Solvable difference equation | Publisher: | Bolyai Institute, University of Szeged |
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