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Qualitative properties for a fourth-order rational difference equation - MaRDI portal

Qualitative properties for a fourth-order rational difference equation (Q2568946)

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Qualitative properties for a fourth-order rational difference equation
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    Qualitative properties for a fourth-order rational difference equation (English)
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    17 October 2005
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    A fourth order difference equation in a rational form is considered. By bringing out a periodicity property of the nontrivial semicyclic solutions, it is shown that the positive fixed point of the equation is globally asymptotically stable.
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    periodic solutions
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    positive fixed point
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    rational difference equation
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    global asymptotic stability
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    semicycle
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