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On an extension of the Hilbert-Schmidt theorem to problems with unsymmetric kernels (Q1058362)

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scientific article; zbMATH DE number 3900286
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English
On an extension of the Hilbert-Schmidt theorem to problems with unsymmetric kernels
scientific article; zbMATH DE number 3900286

    Statements

    On an extension of the Hilbert-Schmidt theorem to problems with unsymmetric kernels (English)
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    1984
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    For the mathematical treatment of small vibrations of elastic systems it is found that an expansion theorem similar to the classical Hilbert- Schmidt theorem holds true in spite of the problem is non-selfadjoint. This mathematical investigation is given without any examples.
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    follower force
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    non-selfadjoint perturbed problem
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    unsymmetric kernel
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    small vibrations of elastic systems
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    expansion theorem similar to the classical Hilbert-Schmidt theorem
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