Erzincan Binali Yıldırım ÜniversitesiErzincan Binali Yıldırım ÜniversitesiAçık Erişim Arşivi · RDL Open

Inverse problem for the quadratic pencil of the Sturm-Liouville equations

Conference ObjectAçık Erişim

Özet

In this paper, we study the wellposedness of the inverse problem for the quadratic pencil of the Sturm-Liouville equation (diffusion operator). We will consider two different problem for diffusion operator. By using the Mizutani's method, we will prove that if the spectral characteristics of this problems are close to each other, then the difference between their potential functions is sufficiently small in a certain sense. © 2015 AIP Publishing LLC.

Anahtar Kelimeler

Boundary value problemsLiouville equationNumerical analysisDiffusion operatorsPotential functionSpectral characteristicsSturm-Liouville equationWellposednessInverse problems
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/15312Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.1063/1.4912599Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorPanakhov, Etibar S.
dc.contributor.authorTas, Kezban
dc.contributor.authorSat, Murat
dc.contributor.editorT.E., Simos
dc.contributor.editorC., Tsitouras
dc.date.accessioned2026-10-18T20:30:07.561278680Z
dc.date.available2026-10-18T20:30:07.561278680Z
dc.date.issued2015
dc.description.abstractIn this paper, we study the wellposedness of the inverse problem for the quadratic pencil of the Sturm-Liouville equation (diffusion operator). We will consider two different problem for diffusion operator. By using the Mizutani's method, we will prove that if the spectral characteristics of this problems are close to each other, then the difference between their potential functions is sufficiently small in a certain sense. © 2015 AIP Publishing LLC.
dc.identifier.doi10.1063/1.4912599
dc.identifier.isbn978-073541287-3
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84939648913
dc.identifier.startpage370010
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/15312
dc.identifier.volume1648
dc.identifier.wosWOS:000355339702018
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.ispartofAIP Conference Proceedings
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBoundary value problems
dc.subjectLiouville equation
dc.subjectNumerical analysis
dc.subjectDiffusion operators
dc.subjectPotential function
dc.subjectSpectral characteristics
dc.subjectSturm-Liouville equation
dc.subjectWellposedness
dc.subjectInverse problems
dc.titleInverse problem for the quadratic pencil of the Sturm-Liouville equations
dc.typeConference Object
dspace.entity.typePublication
rdl.citation.scopus0
rdl.citation.wos0
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexConference Proceedings Citation Index - Science (CPCI-S)