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dc.contributor.authorCarlson, Robert ( )
dc.date.accessioned2019-12-11T19:16:44Z
dc.date.available2019-12-11T19:16:44Z
dc.date.issued2000-11-28
dc.identifier.citationCarlson, R. (2000). Nonclassical Sturm-Liouville problems and Schrodinger operators on radial trees. Electronic Journal of Differential Equations, 2000(71), pp. 1-24.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/9056
dc.description.abstractSchrodinger operators on graphs with weighted edges may be defined using possibly infinite systems of ordinary differential operators. This work mainly considers radial trees, whose branching and edge lengths depend only on the distance from the root vertex. The analysis of operators with radial coefficients on radial trees is reduced, by a method analogous to separation of variables, to nonclassical boundary-value problems on the line with interior point conditions. This reduction is used to study self adjoint problems requiring boundary conditions `at infinity'.en_US
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSchrodinger operators on graphsen_US
dc.subjectGraph spectral theoryen_US
dc.subjectBoundary-value problemsen_US
dc.subjectInterior point conditionsen_US
dc.titleNonclassical Sturm-Liouville Problems and Schrodinger Operators on Radial Treesen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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