On the Dynamics of the Recursive Sequence

Mehmet Gümüş, Özkan Öcalan and Nilüfer B. Felah

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-11

Abstract:

We investigate the boundedness character, the oscillatory, and the periodic character of positive solutions of the difference equation , where , , and the initial conditions are arbitrary positive numbers. We investigate the boundedness character for . Also, we investigate the existence of a prime two periodic solution for is odd. Moreover, when is even, we prove that there are no prime two periodic solutions of the equation above.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:241303

DOI: 10.1155/2012/241303

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