Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0889.34029
Došlý, Ondřej
Oscillation and spectral properties of a class of singular self-adjoint differential operators.
(English)
[J] Math. Nachr. 188, 49-68 (1997). ISSN 0025-584X; ISSN 1522-2616/e

Oscillation and spectral properties of the one-term differential operator $$l(y)= (-1)^n(r(t) y^{(n)})^{(n)}/w(t),\quad t\in I= [a,\infty),$$ are investigated. It is shown that certain recently established necessary conditions for discreteness and boundedness from below of the spectrum of $l$ are also sufficient for this property.
[P.Smith (Keele)]
MSC 2000:
*34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34L05 General spectral theory for ODE

Keywords: oscillations; conjugate points; spectral analyses

Cited in: Zbl 0995.34077 Zbl 0912.34032

Highlights
Master Server