On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\) (Q2386810)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\) |
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On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\) (English)
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25 August 2005
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The asymptotic behaviour of the solutions of the difference equation in the title is investigated for positive \(p\) and nonnegative \(\alpha\). Moreover, a convergence theorem is proved concerning the equation \(x_{n+1}=\alpha+f(x_{n-k}/x_n)\).
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asymptotic behaviour
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rational difference equation
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convergence
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