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

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

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-fo...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2011-01, Vol.2011 (2011), p.1468-1479
Hauptverfasser: He, Li, Liu, Wanping
Format: Artikel
Sprache:eng
Schlagworte:
Difference equations
Periodic functions
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2011/827235