ANALYSIS OF THE POINT SPECTRUM OF THE STURM-LIOUVILLE OPERATOR WITH CERTAIN BEHAVIOR OF POTENTIAL AT INFINITY

H. A. Asatryan

doi:10.46991/PYSU:A/2006.40.1.023

ANALYSIS OF THE POINT SPECTRUM OF THE STURM-LIOUVILLE OPERATOR WITH CERTAIN BEHAVIOR OF POTENTIAL AT INFINITY

Authors

H. A. Asatryan Chair of Differential Equations, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2006.40.1.023

Keywords:

Sturm-Liouville operator, eigenvalues, certain behavior of potential

Abstract

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.

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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