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Embedded eigenvalues of Sturm-Liouville operators - MaRDI portal

Embedded eigenvalues of Sturm-Liouville operators (Q1180521)

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scientific article; zbMATH DE number 25964
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Embedded eigenvalues of Sturm-Liouville operators
scientific article; zbMATH DE number 25964

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    Embedded eigenvalues of Sturm-Liouville operators (English)
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    27 June 1992
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    The behaviour of embedded eigenvalues for Sturm-Liouville problems in \([0,\infty)\) under local perturbations is studied. If the spectral function has a strictly positive derivative then the embedded eigenvalues either disappear or remain fixed. In this case local perturbations cannot add eigenvalues in the continuous spectrum.
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    embedded eigenvalues for Sturm-Liouville problems
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    local perturbations
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    continuous spectrum
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