Eigenvalue problems of Atkinson, Feller and Krein, and their mutual relationship
Date
2005-04-28
Authors
Volkmer, Hans
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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, Prüfer angle methods become available for Krein-Feller problems.
Description
Keywords
Sturm-Liouville problem, Vibrating string, Krein-Feller eigenvalue problem, Atkinson eigenvalue problem
Citation
Volkmer, 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.
Rights
Attribution 4.0 International