Nonclassical Sturm-Liouville Problems and Schrodinger Operators on Radial Trees

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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.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'.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCarlson, R. (2000). Nonclassical Sturm-Liouville problems and Schrodinger operators on radial trees. <i>Electronic Journal of Differential Equations, 2000</i>(71), pp. 1-24.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9056
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSchrodinger operators on graphs
dc.subjectGraph spectral theory
dc.subjectBoundary-value problems
dc.subjectInterior point conditions
dc.titleNonclassical Sturm-Liouville Problems and Schrodinger Operators on Radial Trees
dc.typeArticle

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