Global behavior of the max-type difference equation \(x_{n+1} = \max\left\{\frac{A}{x_{n-m}},\frac{1}{x^\alpha_{n-k}}\right\}\) (Q2917779)
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scientific article; zbMATH DE number 6089016
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global behavior of the max-type difference equation \(x_{n+1} = \max\left\{\frac{A}{x_{n-m}},\frac{1}{x^\alpha_{n-k}}\right\}\) |
scientific article; zbMATH DE number 6089016 |
Statements
1 October 2012
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max type difference equation
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posititve solution
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periodicity
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Global behavior of the max-type difference equation \(x_{n+1} = \max\left\{\frac{A}{x_{n-m}},\frac{1}{x^\alpha_{n-k}}\right\}\) (English)
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The global behavior of the max-type difference equation of the form NEWLINE\[NEWLINEx_{n+1} = \max\left\{\frac{A}{x_{n-m}},\frac{1}{x^\alpha_{n-k}}\right\},\quad n=0,1,\dots,NEWLINE\]NEWLINE is studied.
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