On the boundedness character of the system \(x_{n+1} =\frac{\alpha_{1} + \gamma _{1} y_{n}}{x_{n}}\) and \(y_{n+1} = \frac{\alpha_{2} + \beta _{2}x_{n} + \gamma _{2} y_{n}}{A_{2} + x_{n} + y_{n}}\) (Q1022554)

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scientific article; zbMATH DE number 5567187
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English
On the boundedness character of the system \(x_{n+1} =\frac{\alpha_{1} + \gamma _{1} y_{n}}{x_{n}}\) and \(y_{n+1} = \frac{\alpha_{2} + \beta _{2}x_{n} + \gamma _{2} y_{n}}{A_{2} + x_{n} + y_{n}}\)
scientific article; zbMATH DE number 5567187

    Statements

    On the boundedness character of the system \(x_{n+1} =\frac{\alpha_{1} + \gamma _{1} y_{n}}{x_{n}}\) and \(y_{n+1} = \frac{\alpha_{2} + \beta _{2}x_{n} + \gamma _{2} y_{n}}{A_{2} + x_{n} + y_{n}}\) (English)
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    22 June 2009
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    system of rational difference equations
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    bounded solutions
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    convergence
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    period-two solutions
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    period-two trichotomy
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