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Two classes of piecewise-linear difference equations with eventual periodicity three
Authors:J. Feuer
Affiliation:Department of Mathematics and Computer Science, Dowling College, Oakdale, NY 11769, USA
Abstract:
In this paper, we will study two classes of difference equations which are piecewise-linear and of similar forms. We will show that all nontrivial solutions of one equation are eventually periodic with prime period three. We will show this result for one case of the second equation.
Keywords:Asymptotic behavior   Periodic solutions   Recursive sequences
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