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On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\) - MaRDI portal

On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\) (Q856136)

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scientific article; zbMATH DE number 5078426
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English
On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\)
scientific article; zbMATH DE number 5078426

    Statements

    On the difference equation \(y_{n+1} = \frac {\alpha +\beta e^{-y_n}}{\gamma +y_{n-1}}\) (English)
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    7 December 2006
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    The positive solutions of the difference equation in the title with positive parameters are investigated with respect to boundedness and global attractivity. There are no periodic solutions.
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    rational difference equations
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    boundedness
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    global asymptotically stability
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    positive solutions
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