On discreteness of spectrum of a second order differential operator

Electronic Journal of Qualitative Theory of Differential Equations

Sergey Labovskiy¹ 

[1] Plekhanov Russian University of Economics, Moscow, Russian Federation;

关键词: discreteness of spectrum;    second order differential operator;   

DOI  :  10.14232/ejqtde.2020.1.52

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown