On an \(n\)th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution (Q1854173)

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scientific article; zbMATH DE number 1852908
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On an \(n\)th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution
scientific article; zbMATH DE number 1852908

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    On an \(n\)th-order infinitesimal generator and time-dependent operator differential equation with a strongly almost periodic solution (English)
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    13 January 2003
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    Summary: In a Banach space, if \(u\) is a Stepanov almost-periodic solution to a certain \(n\)th-order infinitesimal generator and time-dependent operator differential equation with a Stepanov almost-periodic forcing function, then \(u,u',\dots,u^{(n-2)}\) are all strongly almost-periodic and \(u^{(n-1)}\) is weakly almost-periodic.
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    \(n\)th-order infinitesimal generator
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    time-dependent operator differential equation
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    strongly almost periodic solution
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