Global attractivity in a class of nonlinear difference equations (Q2726150)

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scientific article; zbMATH DE number 1620079
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Global attractivity in a class of nonlinear difference equations
scientific article; zbMATH DE number 1620079

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    12 July 2001
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    nonlinear difference equation
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    global attractivity
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    Global attractivity in a class of nonlinear difference equations (English)
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    Sufficient conditions are given for the global attractivity of NEWLINE\[NEWLINEx_{n+1}= ax_n+ f(x_n-bx_{n-1} -x_{n-k})NEWLINE\]NEWLINE with \(0\leq a<1\), \(a\leq b\), \(k\geq 2\) and nondrecreasing \(f\).
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