Email this article Asymptotics of the eigenvalues of Sturm-Liouville problem
- Authors: Harutyunyan T.N.1
-
Affiliations:
- Yerevan State University
- Issue: Vol 51, No 4 (2016)
- Pages: 173-181
- Section: Differential Equations
- URL: https://journals.rcsi.science/1068-3623/article/view/227930
- DOI: https://doi.org/10.3103/S1068362316040026
- ID: 227930
Cite item
Open Access
Access granted
Subscription Access
Abstract
We prove a new asymptotic formula for the eigenvalues of Sturm-Liouville problem with summable potential. The obtained result extends and make more precise previously known formulas, and takes into account the smooth dependence of the spectral data on boundary conditions.
Keywords
About the authors
T. N. Harutyunyan
Yerevan State University
Author for correspondence.
Email: hartigr@yahoo.co.uk
Armenia, Yerevan
