Conditions of almost periodicity for bounded solutions of nonlinear difference equations with continuous argument (Q461498)

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scientific article; zbMATH DE number 6353853
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Conditions of almost periodicity for bounded solutions of nonlinear difference equations with continuous argument
scientific article; zbMATH DE number 6353853

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    Conditions of almost periodicity for bounded solutions of nonlinear difference equations with continuous argument (English)
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    10 October 2014
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    The author considers a difference equation \(x(t+1)=f(t, x(t))\) and establishes conditions for the existence of almost periodic solutions of this equation. In the investigation of this equation, the author uses a functional defined on the set of bounded solutions of this equation and does not use the H-class of this equation.
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    nonlinear difference equation
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    almost periodic solutions
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    bounded solution
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