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Inverse resonance problems with the discontinuous conditions

ArticleAçık Erişim

Özet

In this paper, we consider the inverse resonance problems for the discontinuous and non-selfadjoint Sturm-Liouville problem. We prove the uniqueness theorem and provide a reconstructive algorithm for the potential by using the Cauchy data and Weyl function. © 2022, Editorial Committee of Applied Mathematics.

Anahtar Kelimeler

34A5534B2447E05discontinuous conditionsGelfand-Levitan kernelinverse resonance problemWeyl function
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12898Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1007/s11766-022-4004-xYayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorZhang, Ran
dc.contributor.authorSat, Murat
dc.contributor.authorYang, Chuan-fu
dc.date.accessioned2026-10-18T20:27:45.483518910Z
dc.date.available2026-10-18T20:27:45.483518910Z
dc.date.issued2022
dc.description.abstractIn this paper, we consider the inverse resonance problems for the discontinuous and non-selfadjoint Sturm-Liouville problem. We prove the uniqueness theorem and provide a reconstructive algorithm for the potential by using the Cauchy data and Weyl function. © 2022, Editorial Committee of Applied Mathematics.
dc.description.sponsorshipThe research work was supported in part by the National Natural Science Foundation of China (11871031) and by the Natural Science Foundation of the Jiangsu Province of China(BK 20201303). Ran Zhang was supported in part by Postgraduate Research and Practice Innovation Program of Jiangsu Province (KYCX20_0245). Acknowledgement
dc.identifier.doi10.1007/s11766-022-4004-x
dc.identifier.eissn1993-0445
dc.identifier.endpage545
dc.identifier.issn1005-1031
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85144481549
dc.identifier.startpage530
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12898
dc.identifier.volume37
dc.identifier.wosWOS:000901983000004
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.subjectGelfand-Levitan kernel
dc.subjectinverse resonance problem
dc.subjectWeyl function
dc.titleInverse resonance problems with the discontinuous conditions
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus1
rdl.citation.wos1
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)