Periodic Solutions to a Third-Order Conditional Difference Equation over the Integers

Li He and Wanping Liu

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-12

Abstract:

This paper studies a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three) integer solutions. Besides, its all period-four (and five) integer solutions are derived under appropriate rational parameters.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:827235

DOI: 10.1155/2011/827235

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