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On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\) - MaRDI portal

On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\) (Q900495)

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scientific article; zbMATH DE number 6523391
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English
On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\)
scientific article; zbMATH DE number 6523391

    Statements

    On the dynamics of the nonlinear rational difference equation \(x_{n+1}=Ax_{n}+Bx_{n-k}+Cx_{n-l}+\frac{bx_{n-k}}{dx{n-k}-ex{n-1}}\) (English)
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    22 December 2015
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    difference equations
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    prime period two solution
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    boundedness character
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    locally asymptotically stable
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    global attractor
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    global stability
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