| Authors: | Berg, Lothar Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On difference equations with powers as solutions and their connection with invariant curves | Journal: | Applied Mathematics and Computation | Volume: | 217 | Issue: | 17 | First page: | 7191 | Last page: | 7196 | Issue Date: | 1-May-2011 | Rank: | M21 | ISSN: | 0096-3003 | DOI: | 10.1016/j.amc.2011.02.005 | Abstract: | We look for nonlinear systems of difference equations which have power functions as solutions and we find a connection to the theory of invariant curves and to self-reversed polynomials. In particular, we construct algebraic solutions of a special equation of invariant curves. |
Keywords: | Difference equation | Functional equation | Power functions | Self-reversed polynomials | Publisher: | Elsevier |
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