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Inverse nodal problem for the Sturm-Liouville operator with a weight

ArticleAçık Erişim

Özet

In this work, we consider the inverse nodal problem for the Sturm-Liouville problem with a weight and the jump condition at the middle point. It is shown that the dense nodes of the eigenfunctions can uniquely determine the potential on the whole interval and some parameters. © 2020, Editorial Committee of Applied Mathematics.

Anahtar Kelimeler

34A5534B2447E05discontinuous conditionsinverse nodal problemSturm-Liouville operatorweight function
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/13844Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s11766-020-3806-yYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorZhang, Ran
dc.contributor.authorSat, Murat
dc.contributor.authorYang, Chuan-fu
dc.date.accessioned2026-10-18T20:28:38.974133810Z
dc.date.available2026-10-18T20:28:38.974133810Z
dc.date.issued2020
dc.description.abstractIn this work, we consider the inverse nodal problem for the Sturm-Liouville problem with a weight and the jump condition at the middle point. It is shown that the dense nodes of the eigenfunctions can uniquely determine the potential on the whole interval and some parameters. © 2020, Editorial Committee of Applied Mathematics.
dc.description.sponsorshipThe research work was supported in part by the National Natural Science Foundation of China (11611530682 and 11871031). Acknowledgments
dc.identifier.doi10.1007/s11766-020-3806-y
dc.identifier.eissn1993-0445
dc.identifier.endpage202
dc.identifier.issn1005-1031
dc.identifier.issue2
dc.identifier.scopus2-s2.0-105003005888
dc.identifier.startpage193
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/13844
dc.identifier.volume35
dc.identifier.wosWOS:000540534500006
dc.language.isoen
dc.publisherSpringer Verlag
dc.relation.ispartofApplied Mathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject34A55
dc.subject34B24
dc.subject47E05
dc.subjectdiscontinuous conditions
dc.subjectinverse nodal problem
dc.subjectSturm-Liouville operator
dc.subjectweight function
dc.titleInverse nodal problem for the Sturm-Liouville operator with a weight
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus5
rdl.citation.wos3
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)