Inverse Sturm-Liouville problem of recovering coefficients in boundary conditions

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dc.contributor.authorSupranovych, Alesia
dc.contributor.authorPivovarchik, Vyacheslav
dc.date.accessioned2026-02-04T11:43:00Z
dc.date.issued2025
dc.description.abstractThe spectral Sturm-Liouville problem on an equilateral star graph of three edges with the standard conditions at the interior vertex and the Robin conditions at the pendant vertices is considered. It is shown that under the conditions of zero potentials on the edges the asymptotics of the eigenvalues determine the shape of the graph and the constants in the Roben conditions. This method can be applied for the case of more complicated equilateral simple connected graphs.en
dc.description.notificationThis work is licensed under a Creative Commons Attribution 4.0 International License. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.
dc.description.reviewstatusfi=vertaisarvioitu|en=peerReviewed|
dc.format.pagerange197-206
dc.identifier.urihttps://osuva.uwasa.fi/handle/11111/19762
dc.identifier.urnURN:NBN:fi-fe2026020411397
dc.language.isoen
dc.publisherOdessa National Technological University
dc.relation.doihttps://doi.org/10.15673/pigc.v18i2.3008
dc.relation.ispartofjournalPracì Mìžnarodnogo geometričnogo centru
dc.relation.issn2409-8906
dc.relation.issn2072-9812
dc.relation.issue2
dc.relation.urlhttps://doi.org/10.15673/pigc.v18i2.3008
dc.relation.urlhttps://urn.fi/URN:NBN:fi-fe2026020411397
dc.relation.volume18
dc.rightshttps://creativecommons.org/licenses/by/4.0/
dc.source.identifier2-s2.0-105018124202
dc.source.identifier005d0e3a-0fc1-42d8-90f7-09d63db3fe56
dc.source.metadataSoleCRIS
dc.subjectasymptotic
dc.subjectstar graph
dc.subjectspectrum
dc.subjectdifferential equations of the second order
dc.subjecteigenvalue
dc.subject.disciplinefi=Matemaattiset tieteet|en=Mathematics|
dc.titleInverse Sturm-Liouville problem of recovering coefficients in boundary conditions
dc.type.okmfi=A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä (vertaisarvioitu)|en=A1 Journal article (peer-reviewed)|
dc.type.publicationarticle
dc.type.versionpublishedVersion

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