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 − 1 ρ(x) (p(x)u 0 0 , −∞ ≤ a ≤ x ≤ b ≤ +∞ is obtained. A simpler proof of the necessity is obtained.

Elmentve itt :
Bibliográfiai részletek
Szerző: Labovskiy Sergey M.
Dokumentumtípus: Folyóirat
Megjelent: 2020
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet
doi:10.14232/ejqtde.20XX.1.XX

Online Access:http://acta.bibl.u-szeged.hu/70936
Leíró adatok
Tartalmi kivonat:A new form of a necessary and sufficient conditions for the discreteness of the spectrum of singular operator − 1 ρ(x) (p(x)u 0 0 , −∞ ≤ a ≤ x ≤ b ≤ +∞ is obtained. A simpler proof of the necessity is obtained.
ISSN:1417-3875