Separation of the Sturm--Liouville differential operator with an operator potential
type: Item
instance of: scholarly article
title: Separation of the Sturm--Liouville differential operator with an operator potential
zbMATH Open document ID: 1066.34084
author: Yanyan Li
published in: Applied Mathematics and Computation
publication date: 2004-11-23T00:00:00Z
review text: The vector-valued Sturm-Liouville differential operator \[ Ay(x)=-\frac{d}{dx}(\mu(x)\frac{dy}{dx})+V(x)y(x), \] is considered, where \(V(x)=(v_{ij}(x))_{i,j=1}^\infty \) is a bounded operator and \(\mu(x)\) is a positive \(C^1\)-function in \(\mathbb R\). The authors present sufficient conditions for \(A\) to be separated in \(H_1(\mathbb R)\) and \(H_2(\mathbb R)\) are satisfied for all \(x\in \mathbb R.\)
reviewed by: Chung-Tsun Shieh
Mathematics Subject Classification ID: 34L40
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 2118024
zbMATH Keywords: Sturm-Liouville operator
zbMATH Keywords: separation property
MaRDI profile type: Publication
full work available at URL: j.amc.2003.07.026
OpenAlex ID: W2022240143
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DOI: 10.1016/J.AMC.2003.07.026
description: scientific article; zbMATH DE number 2118024