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Stabilizability of integrodifferential parabolic equations - MaRDI portal

Stabilizability of integrodifferential parabolic equations (Q910999)

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scientific article; zbMATH DE number 4142764
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Stabilizability of integrodifferential parabolic equations
scientific article; zbMATH DE number 4142764

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    Stabilizability of integrodifferential parabolic equations (English)
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    1990
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    The authors establish a necessary and sufficient condition for the stabilizability of a parabolic integrodifferential equation on an abstract space. This condition reduces to that of Hautus when the kernel of the integral operator is identically zero and the space is finite dimensional. A parabolic integrodifferential equation with a completely monotone kernel and the heat equation for materials with fading memory are also investigated in detail.
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    stabilizability
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    parabolic integrodifferential equation
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    abstract space
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    completely monotone kernel
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    heat equation for materials with fading memory
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