On explicit conditions for the asymptotic stability of linear higher order difference equations (Q1770988)

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scientific article; zbMATH DE number 2153758
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On explicit conditions for the asymptotic stability of linear higher order difference equations
scientific article; zbMATH DE number 2153758

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    On explicit conditions for the asymptotic stability of linear higher order difference equations (English)
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    7 April 2005
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    The author considers a general linear higher order difference equation and the equation with a nonlinear perturbations satisfying a kind of sublinearity condition. Explicit sufficient conditions for the asymptotic stability of the zero solution are obtained.
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    linear difference equations
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    asymptotic stability
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    linear higher order difference equation
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    equation with a nonlinear perturbations
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