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.
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¶mtipus_ertek=publication¶m_ertek=8436 |
Similar Items
-
On the spectrum of 2-nd order generalized difference operator $\delta^2$ over the sequence space $c_0$
by: S. Dutta, et al.
Published: (2013-12-01) -
Weighted Second-Order Differential Inequality on Set of Compactly Supported Functions and Its Applications
by: Aigerim Kalybay, et al.
Published: (2021-11-01) -
Selfadjoint singular differential operators of first order and their spectrum
by: Zameddin I. Ismailov, et al.
Published: (2016-01-01) -
Oscillation and spectral properties of some classes of higher order differential operators and weighted $n$th order differential inequalities
by: Aigerim Kalybay, et al.
Published: (2021-01-01) -
Second order tangency conditions and differential inclusions: a counterexample and a remedy
by: Corneliu Ursescu
Published: (2009-01-01)