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

Trace Formulae for Second-Order Differential Pencils with a Frozen Argument

ArticleAçık Erişim

Özet

This paper deals with second-order differential pencils with a fixed frozen argument on a finite interval. We obtain the trace formulae under four boundary conditions: Dirichlet–Dirichlet, Neumann–Neumann, Dirichlet–Neumann, Neumann–Dirichlet. Although the boundary conditions and the corresponding asymptotic behaviour of the eigenvalues are different, the trace formulae have the same form which reveals the impact of the frozen argument. © 2023 by the authors.

Anahtar Kelimeler

differential pencilsfrozen argumentregularized trace formulae
RDL Kalıcı Bağlantı (PID)
https://rdlopen.rawdatalibrary.net/r/ebyu/12260Resmi atıflarda kullanılan kalıcı adres
DOI
https://doi.org/10.3390/math11183996Yayıncı resmi DOI adresi
Tam Kayıt
AlanDeğerDil
dc.contributor.authorHu, Yi-Teng
dc.contributor.authorŞat, Murat
dc.date.accessioned2026-10-18T20:27:10.854258221Z
dc.date.available2026-10-18T20:27:10.854258221Z
dc.date.issued2023
dc.description.abstractThis paper deals with second-order differential pencils with a fixed frozen argument on a finite interval. We obtain the trace formulae under four boundary conditions: Dirichlet–Dirichlet, Neumann–Neumann, Dirichlet–Neumann, Neumann–Dirichlet. Although the boundary conditions and the corresponding asymptotic behaviour of the eigenvalues are different, the trace formulae have the same form which reveals the impact of the frozen argument. © 2023 by the authors.
dc.description.sponsorshipThe author Hu was supported by the Fundamental Research Funds for the Central Universities (XJS220703, ZYTS23049).
dc.identifier.doi10.3390/math11183996
dc.identifier.eissn2227-7390
dc.identifier.issn2227-7390
dc.identifier.issue18
dc.identifier.scopus2-s2.0-85176399671
dc.identifier.startpage3996
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/ebyu/12260
dc.identifier.volume11
dc.identifier.wosWOS:001071912800001
dc.language.isoen
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.relation.ispartofMathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectdifferential pencils
dc.subjectfrozen argument
dc.subjectregularized trace formulae
dc.titleTrace Formulae for Second-Order Differential Pencils with a Frozen Argument
dc.typeArticle
dspace.entity.typePublication
rdl.citation.scopus4
rdl.citation.wos4
rdl.oa.statusgold
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)