ANALYSIS OF THE POINT SPECTRUM OF THE STURM-LIOUVILLE OPERATOR WITH CERTAIN BEHAVIOR OF POTENTIAL AT INFINITY
DOI:
https://doi.org/10.46991/PYSU:A/2006.40.1.023Keywords:
Sturm-Liouville operator, eigenvalues, certain behavior of potentialAbstract
In the space $L^2(\mathbb{R})$ the Sturm-Liouville operator L with certain behavior of potential at infinity is considered. We prove that the eigenvalues of L are simple and are finite in number.
Downloads
Published
2006-03-07
How to Cite
Asatryan, H. A. (2006). ANALYSIS OF THE POINT SPECTRUM OF THE STURM-LIOUVILLE OPERATOR WITH CERTAIN BEHAVIOR OF POTENTIAL AT INFINITY. Proceedings of the YSU A: Physical and Mathematical Sciences, 40(1 (209), 23–28. https://doi.org/10.46991/PYSU:A/2006.40.1.023
Issue
Section
Mathematics
License
Copyright (c) 2006 Proceedings of the YSU
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.