Global attractivity of the difference equation \(x_{n+1}=(x_{n}+\alpha x_{n-1})/(\beta +x_{n})\) (Q856141)
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scientific article; zbMATH DE number 5078431
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global attractivity of the difference equation \(x_{n+1}=(x_{n}+\alpha x_{n-1})/(\beta +x_{n})\) |
scientific article; zbMATH DE number 5078431 |
Statements
Global attractivity of the difference equation \(x_{n+1}=(x_{n}+\alpha x_{n-1})/(\beta +x_{n})\) (English)
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7 December 2006
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The nonnegative solutions of the difference equation in the title with nonnegative coefficients are investigated with respect to stability, global attractivity and periodicity. Three numerical examples are given.
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rational difference equations
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global asymptotic stability
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period two solution
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nonnegative solutions
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global attractivity
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periodicity
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numerical examples
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