On the recursive sequence \(x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}\) (Q2478367)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the recursive sequence \(x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}\) |
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On the recursive sequence \(x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}\) (English)
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28 March 2008
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Summary: This paper studies the boundedness, global attractivity, and periodicity of the positive solutions of the difference equation \(x_{n+1}=A+x_n^p/x_{n-1}^p\), \(n\in\mathbb N_0\), with \(p,A\in(0,\infty)\). The main results give a complete picture regarding the boundedness character of the positive solutions of the equation.
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