Irregular boundary value problem for the Sturm-Liouville operator
type: Item
instance of: scholarly article
title: Irregular boundary value problem for the Sturm-Liouville operator
zbMATH Open document ID: 1381.34047
DOI: 10.1134/S0012266117080067
author: T. E. Moiseev
author: A. S. Makin
published in: Differential Equations
publication date: 2017-11-03T00:00:00Z
review text: In this paper, the authors study a Sturm-Liouville operator with nonclassical asymptotics of the spectrum. They prove that the existence of a potential \(q(x)\) in \(L_2\) such that the related boundary-value problem is not almost regular in the sense of \textit{A. A. Shkalikov} [Tr. Semin. Im. I. G. Petrovskogo 9, 190--229 (1983; Zbl 0553.34014)] but its Green function has a polynomial order of growth in the eigenvalue parameter.
Mathematics Subject Classification ID: 34B24
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 6802721
zbMATH Keywords: Sturm-Liouville problem
zbMATH Keywords: asymptotics of eigenvalues
reviewed by: Erdoǧan Şen
MaRDI profile type: Publication
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full work available at URL: s0012266117080067
OpenAlex ID: W2755588751
description: scientific article; zbMATH DE number 6802721