On the spectra of the Sturm-Liouville operator with the fast oscillating potential
type: Item
instance of: scholarly article
title: On the spectra of the Sturm-Liouville operator with the fast oscillating potential
zbMATH Open document ID: 1346.47013
DOI: 10.4171/JST/119
author: R. S. Ismagilov
published in: Journal of Spectral Theory
publication date: 2016-06-09T00:00:00Z
review text: Summary: A spectral problem for a Sturm-Liouville operator is considered in the functional Hilbert space on the half axis. The potential is ``fast oscillating''. The conditions giving a discrete spectra are indicated. The spectral asymptotic is determined.
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 6591154
zbMATH Keywords: Sturm-Liouville operator
zbMATH Keywords: discrete spectra
zbMATH Keywords: oscillating potential
MaRDI profile type: Publication
cites work: On the Asymptotic Distribution of Eigenvalues
cites work: Spectrum of the Sturm-Liouville equation with an oscillating potential
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description: scientific article; zbMATH DE number 6591154