On the almost automorphy of bounded solutions of differential equations with piecewise constant argument (Q860928)

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scientific article; zbMATH DE number 5083557
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On the almost automorphy of bounded solutions of differential equations with piecewise constant argument
scientific article; zbMATH DE number 5083557

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    On the almost automorphy of bounded solutions of differential equations with piecewise constant argument (English)
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    9 January 2007
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    The authors give sufficient spectral conditions for the almost automorphy of bounded solutions to differential equations with piecewise constant argument of the form \[ x'(t)=Ax([t])+f(t), \] where \(A\) is a bounded linear operator in \(X\) and \(f\) is an \(X\)-valued almost automorphic function.
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    almost automorphic solutions
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