Geodesic
Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship
Electronic journal of differential equations, Tome 2005 (2005)
It 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.
Classification : 34B24, 34B09
Keywords: Sturm-Liouville problem, vibrating string, Krein-Feller eigenvalue problem, atkinson eigenvalue problem 
@article{EJDE_2005__2005__a193,
     author = {Volkmer,  Hans},
     title = {Eigenvalue problems of {Atkinson,} {Feller} and {Krein,} and their mutual relationship},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34027},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a193/}
}
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%J Electronic journal of differential equations
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Volkmer,  Hans. Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a193/