On the asymptotics of the difference equation <i>y</i> <sub> <i>n</i> </sub>(1 + <i>y</i> <sub> <i>n</i> − 1</sub> … <i>y</i> <sub> <i>n − k</i> + 1</sub>) = <i>y</i> <sub> <i>n − k</i> </sub> (Q2997164)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotics of the difference equation <i>y</i> <sub> <i>n</i> </sub>(1 + <i>y</i> <sub> <i>n</i> − 1</sub> … <i>y</i> <sub> <i>n − k</i> + 1</sub>) = <i>y</i> <sub> <i>n − k</i> </sub> |
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Statements
On the asymptotics of the difference equation <i>y</i> <sub> <i>n</i> </sub>(1 + <i>y</i> <sub> <i>n</i> − 1</sub> … <i>y</i> <sub> <i>n − k</i> + 1</sub>) = <i>y</i> <sub> <i>n − k</i> </sub> (English)
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6 May 2011
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rational difference equation
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positive solution
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convergence to zero
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asymptotic behaviour
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