Advanced Search

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

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]