Dirichlet-Neumann bracketing for boundary-value problems on graphs

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dc.contributor.authorCurrie, Sonja
dc.contributor.authorWatson, Bruce A.
dc.date.accessioned2021-06-01T15:45:00Z
dc.date.available2021-06-01T15:45:00Z
dc.date.issued2005-08-24
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCurrie, S., & Watson, B. A. (2005). Dirichlet-Neumann bracketing for boundary-value problems on graphs. <i>Electronic Journal of Differential Equations, 2005</i>(93), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13694
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectDifferential operators
dc.subjectSpectrum
dc.subjectGraphs
dc.titleDirichlet-Neumann bracketing for boundary-value problems on graphs
dc.typeArticle

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