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On the unique solvability of nonlocal problems for abstract singular equations (Q6576756)

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scientific article; zbMATH DE number 7885071
Language Label Description Also known as
English
On the unique solvability of nonlocal problems for abstract singular equations
scientific article; zbMATH DE number 7885071

    Statements

    title
    On the unique solvability of nonlocal problems for abstract singular equations (English)
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    author
    A. V. Glushak
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    publication date
    23 July 2024
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    review text
    Linear differential equations in Banach spaces, which are not resolved with respect to the differential Bessel operator of the unknown function and are equipped with two boundary conditions, one of which is non-local, are investigated. Criteria for the uniqueness of the solution for such problems are obtained in the form of conditions for zeros of solutions of the corresponding scalar equations. Sufficient conditions for unique solvability of non-local problems use an estimate on the resolvent of a pair of operators from the equation at zeros of scalar solutions. A representation of the solution is obtained, illustrative examples are given.
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    zbMATH Keywords
    singular equations
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    differential Bessel operator
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    nonlocal problem
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    unique solvability
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    modified Bessel function
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    resolvent
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    Identifiers

    zbMATH DE Number
    7885071
    0 references
     
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