Stability of certain nonautonomous difference equations (Q259798)

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scientific article; zbMATH DE number 6558183
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Stability of certain nonautonomous difference equations
scientific article; zbMATH DE number 6558183

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    Stability of certain nonautonomous difference equations (English)
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    18 March 2016
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    Stability conditions for the equilibrium points of \[ x_n=f_n(x_{n-1},\dots,x_{n-m}) \] on metric and ordered Banach spaces are discussed; the right hand side function is required to satisfy some contractive conditions.
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    cone
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    contractive condition
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    nonautonomous difference equation
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    metric space
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    ordered Banach space
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    Thompson's metric
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