Reihenentwicklungen im Weylschen Grenzkreisfall über einem halbunendlichen Intervall. (Series expansion in the Weyl limit circle case on a semiinfinite interval)
type: Item
instance of: scholarly article
title: Reihenentwicklungen im Weylschen Grenzkreisfall über einem halbunendlichen Intervall. (Series expansion in the Weyl limit circle case on a semiinfinite interval)
zbMATH Open document ID: 0699.34030
DOI: 10.1007/BF01762384
author: Ernst Mohr
published in: Annali di Matematica Pura ed Applicata. Serie Quarta
publication date: 1988-01-01T00:00:00Z
review text: This paper is a continuation of an earlier one [Ann. Mat. Pura Appl., IV. Ser. 129, 161-199 (1981; Zbl 0501.34021)]. The author investigates the following differential equation (1) \(\frac{1}{k}(pu')'-qu+\lambda u=0,\) with the boundary condition at the point \(s=0\) (2) \(u(0)\cosh - p(0)u'(0)\sinh =0,\) \(0\leq h<\pi\) and with an additional boundary condition at the point \(s=\infty\) which we denote by (3). The paper contains a detailed analysis of the behavior of the Weyl limit circle, the limit spectrum and other facts concerning the problem (1)-(3). Some examples illustrating the obtained results are placed.
Mathematics Subject Classification ID: 34B27
Mathematics Subject Classification ID: 34C05
Mathematics Subject Classification ID: 34M99
zbMATH DE Number: 4146442
zbMATH Keywords: Weyl limit circle
zbMATH Keywords: limit spectrum
zbMATH Keywords: examples
reviewed by: Józef Banaś
MaRDI profile type: Publication
cites work: Q3279399
cites work: Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
cites work: Eine Bemerkung zur Weylschen Theorie vom Grenzkreis- und Grenzpunktfall
description: scientific article; zbMATH DE number 4146442