Global asymptotical stability of a second order rational difference equation (Q929114)
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scientific article; zbMATH DE number 5288025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global asymptotical stability of a second order rational difference equation |
scientific article; zbMATH DE number 5288025 |
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Global asymptotical stability of a second order rational difference equation (English)
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12 June 2008
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The authors prove that the positive equilibrium of the difference equation \[ y_{n+1}=\frac{p+qy_{n-1}}{1+y_n+ry_{n-1}}\quad(n=0,1,\dots) \] is globally asymptotically stable under some conditions.
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difference equation
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positive equilibrium
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global asymptotical stability
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boundedness
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invariant interval
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semicycle
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global attractor
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0.99977577
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0.99977577
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0.9707566
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0.96788216
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0.9673902
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0.9650887
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