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The Dynamics of Solutions to the Equation <TEX>$x_{n+1}=\frac{p+x_{n-k}}{q+x_n}+\frac{x_{n-k}}{x_n}$</TEX> - MaRDI portal

The Dynamics of Solutions to the Equation <TEX>$x_{n+1}=\frac{p+x_{n-k}}{q+x_n}+\frac{x_{n-k}}{x_n}$</TEX> (Q4933429)

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scientific article; zbMATH DE number 5799202
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English
The Dynamics of Solutions to the Equation &lt;TEX&gt;$x_{n+1}=\frac{p+x_{n-k}}{q+x_n}+\frac{x_{n-k}}{x_n}$&lt;/TEX&gt;
scientific article; zbMATH DE number 5799202

    Statements

    The Dynamics of Solutions to the Equation &lt;TEX&gt;$x_{n+1}=\frac{p+x_{n-k}}{q+x_n}+\frac{x_{n-k}}{x_n}$&lt;/TEX&gt; (English)
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    12 October 2010
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    rational difference equation
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    stability
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    oscillation
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    periodicity
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    semicycles
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