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Existence of weak and strong solutions of an integrodifferential equation in Banach spaces - MaRDI portal

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Existence of weak and strong solutions of an integrodifferential equation in Banach spaces (Q1301557)

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scientific article; zbMATH DE number 1334256
Language Label Description Also known as
English
Existence of weak and strong solutions of an integrodifferential equation in Banach spaces
scientific article; zbMATH DE number 1334256

    Statements

    title
    Existence of weak and strong solutions of an integrodifferential equation in Banach spaces (English)
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    author
    M. Kanakaraj
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    publication date
    25 April 2000
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    review text
    A class of evolution integrodifferential equations is studied over the analytic semigroup of operators in a Banach space. Conditions for the existence of weak and strong solutions of these evolution equations are obtained and extended to a maximum interval of existence.
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    zbMATH Keywords
    existence of solutions
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    semigroup of operators
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    evolution integrodifferential equations
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    semilinear evolution equations
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    contraction mapping principle
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    Banach space
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    Identifiers

    DOI
    10.1007/BF02841550
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    Mathematics Subject Classification ID
    45N05
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    45J05
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    45G10
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    zbMATH DE Number
    1334256
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    OpenAlex ID
    W2066318318
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