Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 48, pp. 1-15.

Title: Eigenvalue problems of Atkinson, Feller 
and Krein, and their mutual relationship

Author: Hans Volkmer (Univ. of Wisconsin, Milwaukee, WI USA)

Abstract: 
 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, Prufer angle
 methods become available for Krein-Feller problems.
 
Submitted September 13, 2004. Published April 28, 2005.
Math Subject Classifications: 34B24, 34B09
Key Words: Sturm-Liouville problem; vibrating string; 
    Krein-Feller eigenvalue problem; Atkinson eigenvalue problem.