On The Periodicies of The Difference Equation x_(n+1)=x_n x_(n-1)+α

Erkan TAŞDEMİR, Yüksel SOYKAN

Abstract


In this paper, we investigate the periodicities and long-term behaviour of the nonlinear difference equation: , , where the initial conditions  and  are real numbers.


Keywords


Difference Equations; Boundedness; Periodicity; Eventual periodicity.

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DOI: http://dx.doi.org/10.7212%2Fzkufbd.v6i2.333

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