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A class of singularly perturbed evolution systems (Q1331384)

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scientific article; zbMATH DE number 622174
Language Label Description Also known as
English
A class of singularly perturbed evolution systems
scientific article; zbMATH DE number 622174

    Statements

    title
    A class of singularly perturbed evolution systems (English)
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    publication date
    21 August 1994
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    review text
    Summary: We study a class of evolution equations where the semigroup generators are singularly perturbed by a nonnegative real valued function of time. Sufficient conditions for existence of evolution operators and their compactness are given including continuous dependence on the perturbation. Further, for a coupled system of singular perturbed semilinear systems in two Banach spaces, existence of periodic solutions and their stability are studied.
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    zbMATH Keywords
    evolution equations
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    semigroup
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    compactness
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    continuous dependence on the perturbation
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    singular perturbed semilinear systems
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    Banach spaces
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    periodic solutions
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    stability
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    author
    N. U. Ahmed
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    Identifiers

    Mathematics Subject Classification ID
    34K30
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    34C25
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    34G20
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    34K20
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    35A05
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    34D15
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    47D03
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    zbMATH DE Number
    622174
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    OpenAlex ID
    W2062352467
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