On the difference equation \(x_{n+1}=\alpha +x_{n - m}/x_{n}^{k}\) (Q1009419)
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scientific article; zbMATH DE number 5538678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the difference equation \(x_{n+1}=\alpha +x_{n - m}/x_{n}^{k}\) |
scientific article; zbMATH DE number 5538678 |
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On the difference equation \(x_{n+1}=\alpha +x_{n - m}/x_{n}^{k}\) (English)
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1 April 2009
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Summary: We investigate the global behaviour of the difference equation of higher order \(x_{n+1}=\alpha +x_{n - m}/x_{n}^{k}, n=0,1,\dots,\) where the parameters \(\alpha ,k\in (0,\infty )\) and the initial values \(x_{ - m},x_{ - (m - 1_{)}},\dots ,x_{ - 2},x_{-1},\) and \(x_{0}\) are arbitrary positive real numbers.
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rational difference equation
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global behaviour
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