Global attractivity in a class of difference equations (Q2702878)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global attractivity in a class of difference equations |
scientific article |
Statements
28 February 2001
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global attractivity
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multiplicative difference equation
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positive equilibrium
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Global attractivity in a class of difference equations (English)
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The author considers the difference equation NEWLINE\[NEWLINEx_{n+1}= \frac{\alpha x_n}{(1+ \beta x_{n-k})^\lambda}, \quad n= 0,1,2,\dots, NEWLINE\]NEWLINE where \(\alpha\in (1,\infty)\), \(\beta,\lambda\in (0,\infty)\), and \(k\in \{1,2,3,\dots\}\). Several sufficient conditions are obtained which guarantee that the positive equilibrium is a global attractor.
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