Nonreal eigenvalues for second order differential operators on networks with circuits
type: Item
instance of: scholarly article
title: Nonreal eigenvalues for second order differential operators on networks with circuits
zbMATH Open document ID: 1021.34066
DOI: 10.1016/S0022-247X(02)00324-4
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
review text: This paper is devoted to studying problems of Sturm-Liouville type defined on different kind of domains, where finite networks which can be viewed as finite sets of thin beams or wires. These networks are usually identified as finite graphs, the wires are called edges and the nodes are called vertices. The authors show different behaviour of the networks. It is shown that the existence of nonreal eigenvalues of the corresponding differential operators implies that these operators cannot be selfadjoint with respect to any metric.
Mathematics Subject Classification ID: 34L10
zbMATH DE Number: 1866681
zbMATH Keywords: second-order differential operators
zbMATH Keywords: networks with circuits
zbMATH Keywords: Sturm-Liouville type
zbMATH Keywords: finite networks
zbMATH Keywords: thin beams or wires
zbMATH Keywords: nonreal eigenvalues
author: José A. Lubary
author: J. Solà-Morales
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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cites work: On the geometric and algebraic multiplicities for eigenvalue problems on graphs
cites work: Q5661516
full work available at URL: s0022-247x(02)00324-4
OpenAlex ID: W2061514750
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description: scientific article; zbMATH DE number 1866681