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Partial Inverse Nodal Problems for Eigenparameter Dependent Sturm-Liouville Problems

ArticleAçık Erişim

Özet

In this work, we are concerned with inverse nodal problems of Sturm-Liouville operators with eigenparameter dependent boundary conditions on the interval [0, 1]. It is shown that a twin dense subset of the nodal set in a subinterval [a1,a2]⊂[0,1](a1<12<a2) uniquely determines all parameters of the boundary conditions and the potential (up to a constant) on the interval [0, 1]. © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2026.

Anahtar Kelimeler

34A5534K2947A1047A2047E05eigenparameter dependent boundary conditioninverse nodal problemSturm-Liouville operator
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/10505Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s10255-026-0092-3Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorWu, Dong-Jie
dc.contributor.authorYang, Chuan-Fu
dc.contributor.authorSat, Murat
dc.date.accessioned2026-10-18T20:25:42.693472552Z
dc.date.available2026-10-18T20:25:42.693472552Z
dc.date.issued2026
dc.description.abstractIn this work, we are concerned with inverse nodal problems of Sturm-Liouville operators with eigenparameter dependent boundary conditions on the interval [0, 1]. It is shown that a twin dense subset of the nodal set in a subinterval [a1,a2]⊂[0,1](a1<12<a2) uniquely determines all parameters of the boundary conditions and the potential (up to a constant) on the interval [0, 1]. © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2026.
dc.description.sponsorshipThe project is supported by the National Natural Science Foundation of China (No. 11871031) and the Natural Science Foundation of the Jiangsu Province of China (No. BK 20201303), the Graduate Education and Teaching Reform Project of Nanjing University of Science and Technology (Grant No. KT2024 B08).
dc.identifier.doi10.1007/s10255-026-0092-3
dc.identifier.eissn1618-3932
dc.identifier.endpage1024
dc.identifier.issn0168-9673
dc.identifier.issue3
dc.identifier.scopus2-s2.0-105044742771
dc.identifier.startpage1013
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/10505
dc.identifier.volume42
dc.identifier.wosWOS:001821609700001
dc.language.isoen
dc.publisherSpringer Verlag
dc.relation.ispartofActa Mathematicae Applicatae Sinica
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subject34A55
dc.subject34K29
dc.subject47A10
dc.subject47A20
dc.subject47E05
dc.subjecteigenparameter dependent boundary condition
dc.subjectinverse nodal problem
dc.subjectSturm-Liouville operator
dc.titlePartial Inverse Nodal Problems for Eigenparameter Dependent Sturm-Liouville Problems
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos0
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)