Eigenvalue asymptotics for the Sturm-Liouville operator with potential having a strong local negative singularity

We find asymptotic formulas for the eigenvalues of the Sturm-Liouville operator on the finite interval, with potential having a strong negative singularity at one endpoint. This is the case of limit circle in H. Weyl sense. We establish that, unlike the case of an infinite interval, the asymptoti...

Full description

Bibliographic Details
Main Authors: Medet Nursultanov, Grigori Rozenblum
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2017-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol37/1/art/opuscula_math_3705.pdf