Periodic solutions to a third-order conditional difference equation over the integers (Q659547)
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scientific article; zbMATH DE number 5999659
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions to a third-order conditional difference equation over the integers |
scientific article; zbMATH DE number 5999659 |
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Periodic solutions to a third-order conditional difference equation over the integers (English)
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23 January 2012
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Summary: We study 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.
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third-order conditional difference equation
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first-order system
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0.93857074
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0.9161132
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0.9153505
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0.9134344
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0.9103602
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