|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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