Volkmer, Hans2021-05-242021-05-242005-04-28Volkmer, H. (2005). Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship. <i>Electronic Journal of Differential Equations, 2005</i>(48), pp. 1-15.1072-6691https://hdl.handle.net/10877/13632It is shown that every regular Krein-Feller eigenvalue problem can be transformed to a semidefinite Sturm-Liouville problem introduced by Atkinson. This makes it possible to transfer results between the corresponding theories. In particular, Prüfer angle methods become available for Krein-Feller problems.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalSturm-Liouville problemVibrating stringKrein-Feller eigenvalue problemAtkinson eigenvalue problemEigenvalue problems of Atkinson, Feller and Krein, and their mutual relationshipArticle