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Global asymptotic stability of the higher order equation \(x_{n+1} = \frac{ax_{n}+bx_{n-k}}{A+Bx_{n-k}}\) - MaRDI portal

Global asymptotic stability of the higher order equation \(x_{n+1} = \frac{ax_{n}+bx_{n-k}}{A+Bx_{n-k}}\) (Q1677124)

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scientific article; zbMATH DE number 6805481
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English
Global asymptotic stability of the higher order equation \(x_{n+1} = \frac{ax_{n}+bx_{n-k}}{A+Bx_{n-k}}\)
scientific article; zbMATH DE number 6805481

    Statements

    Global asymptotic stability of the higher order equation \(x_{n+1} = \frac{ax_{n}+bx_{n-k}}{A+Bx_{n-k}}\) (English)
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    10 November 2017
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    rational difference equation
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    global asymptotic stability
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    equilibrium point
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    semi-cycles
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    periodic solution
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    nonnegative solution
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