On the rational recursive sequence \(x_{n+1}=(A+\sum_{i=0}^{k}\alpha _{i}x_{n - i})/(B+\sum _{i=0}^{k}\beta _{i}x_{n - i})\) (Q925364)
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scientific article; zbMATH DE number 5282469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rational recursive sequence \(x_{n+1}=(A+\sum_{i=0}^{k}\alpha _{i}x_{n - i})/(B+\sum _{i=0}^{k}\beta _{i}x_{n - i})\) |
scientific article; zbMATH DE number 5282469 |
Statements
On the rational recursive sequence \(x_{n+1}=(A+\sum_{i=0}^{k}\alpha _{i}x_{n - i})/(B+\sum _{i=0}^{k}\beta _{i}x_{n - i})\) (English)
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3 June 2008
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The solutions of the difference equation in the title with positive entries and positive initial values are studied with respect to convergence, boundedness, global asymptotic stability and 2-periodicity.
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rational difference equation
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bounded solution
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periodic solution
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positive solution
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convergence
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global asymptotic stability
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