On the rational difference equation \(x_{n}=1+\frac{(1-x_{n-k})(1-x_{n-l})(1-x_{n-m})}{x_{n-k}+x_{n-l}+x_{n-m}}\) (Q2430461)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the rational difference equation \(x_{n}=1+\frac{(1-x_{n-k})(1-x_{n-l})(1-x_{n-m})}{x_{n-k}+x_{n-l}+x_{n-m}}\) |
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On the rational difference equation \(x_{n}=1+\frac{(1-x_{n-k})(1-x_{n-l})(1-x_{n-m})}{x_{n-k}+x_{n-l}+x_{n-m}}\) (English)
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6 April 2011
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The difference equation in the title with positive initial values is studied under such conditions that the solutions are persistent, and that the equilibrium is globally asymptotically stable.
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rational difference equation
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persistence
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equilibrium
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globally asymptotic stability
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