On discreteness of spectrum of a second order differential operator

A new form of a necessary and sufficient conditions for the discreteness of the spectrum of singular operator $-\frac{1}{\rho(x)}(p(x)u')'$, $-\infty\le a\le x\le b\le+\infty$ is obtained. A simpler proof of the necessity is obtained.

Bibliographic Details
Main Author: Sergey Labovskiy
Format: Article
Language:English
Published: University of Szeged 2020-09-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8436