Embedded eigenvalues of Sturm Liouville operators
Copyright policy )Embedded eigenvalues of Sturm Liouville operators
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.
47A55, Sturm-Liouville theory, embedded eigenvalues for Sturm-Liouville problems, 47N50, 47E05, 34L40, General spectral theory of ordinary differential operators, local perturbations, continuous spectrum, 34B24
47A55, Sturm-Liouville theory, embedded eigenvalues for Sturm-Liouville problems, 47N50, 47E05, 34L40, General spectral theory of ordinary differential operators, local perturbations, continuous spectrum, 34B24
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