Dirichlet-Neumann bracketing for boundary-value problems on graphs

Dirichlet-Neumann bracketing for boundary-value problems on graphs

We consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary-value problems on graphs. This in turn gives rise...

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Bibliographic Details
Main Authors: Sonja Currie, Bruce A. Watson
Format: Article
Language:English
Published: Texas State University 2005-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Differential operators
spectrum
graphs.
Online Access:http://ejde.math.txstate.edu/Volumes/2005/93/abstr.html
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spelling doaj-0f0a9c523d994733a9297c23880bf55b2020-11-24T21:08:52ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-08-01200593111Dirichlet-Neumann bracketing for boundary-value problems on graphsSonja CurrieBruce A. WatsonWe consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary-value problems on graphs. This in turn gives rise to eigenvalue and eigenfunction asymptotic approximations.http://ejde.math.txstate.edu/Volumes/2005/93/abstr.htmlDifferential operatorsspectrumgraphs.
collection DOAJ
language English
format Article
sources DOAJ
author Sonja Currie
Bruce A. Watson
spellingShingle Sonja Currie
Bruce A. Watson
Dirichlet-Neumann bracketing for boundary-value problems on graphs
Electronic Journal of Differential Equations
Differential operators
spectrum
graphs.
author_facet Sonja Currie
Bruce A. Watson
author_sort Sonja Currie
title Dirichlet-Neumann bracketing for boundary-value problems on graphs
title_short Dirichlet-Neumann bracketing for boundary-value problems on graphs
title_full Dirichlet-Neumann bracketing for boundary-value problems on graphs
title_fullStr Dirichlet-Neumann bracketing for boundary-value problems on graphs
title_full_unstemmed Dirichlet-Neumann bracketing for boundary-value problems on graphs
title_sort dirichlet-neumann bracketing for boundary-value problems on graphs
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2005-08-01
description We consider the spectral structure of second order boundary-value problems on graphs. A variational formulation for boundary-value problems on graphs is given. As a consequence we can formulate an analogue of Dirichlet-Neumann bracketing for boundary-value problems on graphs. This in turn gives rise to eigenvalue and eigenfunction asymptotic approximations.
topic Differential operators
spectrum
graphs.
url http://ejde.math.txstate.edu/Volumes/2005/93/abstr.html
work_keys_str_mv AT sonjacurrie dirichletneumannbracketingforboundaryvalueproblemsongraphs
AT bruceawatson dirichletneumannbracketingforboundaryvalueproblemsongraphs
_version_ 1716759125164032000

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