On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\) (Q448684)
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scientific article; zbMATH DE number 6078727
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\) |
scientific article; zbMATH DE number 6078727 |
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On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\) (English)
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7 September 2012
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Summary: The behavior of well-defined solutions of the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k}), n \in \mathbb N_0\), where \(k \in \mathbb N\) is fixed, the sequences \(a_n, b_n\) and \(c_n\) are real, \((b_n, c_n) \neq (0, 0), n \in \mathbb N_0\), and the initial values \(x_{-k}, \dots, x_{-1}\) are real numbers, is described.
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