Authors: | Iričanin, Bratislav Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts |
Title: | Eventually constant solutions of a rational difference equation |
Journal: | Applied Mathematics and Computation |
Volume: | 215 |
Issue: | 2 |
First page: | 854 |
Last page: | 856 |
Issue Date: | 15-Sep-2009 |
Rank: | M21 |
ISSN: | 0096-3003 |
DOI: | 10.1016/j.amc.2009.05.044 |
Abstract: | We describe all the solutions of a rational difference equation from Putnam's mathematical competition, which are eventually equal to its positive equilibrium over(x, ̄) = 1. As a consequence we give a new, elegant and short proof of the fact that the equation has a positive solution which is not eventually equal to one. Moreover, we show that almost all solutions of the equation are not eventually equal to one. |
Keywords: | Eventually equal to unity | Positive solutions | Rational difference equation |
Publisher: | Elsevier |
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