Boundary values of the solutions of operator differential equations (Q1081011)

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scientific article; zbMATH DE number 3969101
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Boundary values of the solutions of operator differential equations
scientific article; zbMATH DE number 3969101

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    Boundary values of the solutions of operator differential equations (English)
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    1985
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    The author considers the differential-operator equation \((*)\quad y^{(iv)}-2A^ 2y''+A^ 4y=0\), where A is a positive selfadjoint operator in the separable Hilbert space. He investigates the behavior of bounded solutions of (*) as \(t\to 0\).
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    fourth order differential equation
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    differential-operator equation
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    separable Hilbert space
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    bounded solutions
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