The periodicity of positive solutions of the nonlinear difference equation \(x_{n+1} = \alpha + (x^p_{n-k})/(x^q_n)\) (Q1956107)
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scientific article; zbMATH DE number 6175116
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The periodicity of positive solutions of the nonlinear difference equation \(x_{n+1} = \alpha + (x^p_{n-k})/(x^q_n)\) |
scientific article; zbMATH DE number 6175116 |
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The periodicity of positive solutions of the nonlinear difference equation \(x_{n+1} = \alpha + (x^p_{n-k})/(x^q_n)\) (English)
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13 June 2013
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Summary: We give a remark about the periodic character of positive solutions of the difference equation \(x_{n+1} = \alpha + x^p_{n-k}/x^q_n\), \(n = 0, 1, \dots\), where \(k > 1\) is an odd integer, \(\alpha, p, q \in (0, \infty)\) and the initial conditions \(x_{-k}, \dots, x_0\) are arbitrary positive numbers.
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