Non-selfadjoint matrix Sturm-Liouville operators with spectral singularities
type: Item
instance of: scholarly article
title: Non-selfadjoint matrix Sturm-Liouville operators with spectral singularities
zbMATH Open document ID: 1202.34150
author: Murat Olgun
author: Cafer Coskun
published in: Applied Mathematics and Computation
publication date: 2010-07-13T00:00:00Z
review text: Consider the operator \(L\), generated in the space \(L^2(\mathbb R_+,\mathbb R^n)\) by the matrix differential expression \[ l(y)=-y''+Q(x)y,\quad x\in\mathbb R_+ \] and the boundary condition \(y(0)=0\), where \(Q:\mathbb R_+\to\mathbb R^n\) is a non-selfadjoint matrix-valued function. If \(\sup_{x\in\mathbb R_+}[\exp(\varepsilon\sqrt x)\|Q(x)\|]<\infty\), \(\varepsilon>0\), the authors prove that \(L\) has a finite number of eigenvalues and spectral singularities and each of them is of finite multiplicity.
reviewed by: Zoran Kadelburg
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 47E05
Mathematics Subject Classification ID: 34L15
Mathematics Subject Classification ID: 34L05
zbMATH DE Number: 5736345
zbMATH Keywords: Sturm-Liouville operator
zbMATH Keywords: eigenvalues
zbMATH Keywords: spectral singularities
zbMATH Keywords: non-selfadjoint matrix operator
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.062
OpenAlex ID: W2058815630
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DOI: 10.1016/J.AMC.2010.03.062
description: scientific article; zbMATH DE number 5736345