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Eurasian Mathematical Journal, 2022, Volume 13, Number 3, Pages 8–22
DOI: https://doi.org/10.32523/2077-9879-2022-13-3-08-22 (Mi emj442) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discontinuous matrix Sturm–Liouville problems

B. P. Allahverdieva, H. Tunab

a Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey
b Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey
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DOI: https://doi.org/10.32523/2077-9879-2022-13-3-08-22
Abstract: In this paper, we investigate discontinuous matrix Sturm–Liouville problems. We establish an existence and uniqueness result. Next, we introduce the corresponding maximal and minimal operators for this problem and some properties of these operators are investigated. Moreover, we give a criterion under which these operators are self-adjoint. Finally, we give an eigenfunction expansion.
Keywords and phrases: matrix Sturm–Liouville problem, transmission conditions, maximal operator, minimal operator, self-adjoint operator, spectral resolution.
Received: 17.10.2021
Bibliographic databases:
Document Type: Article
MSC: 34B24, 34B37, 47E05, 34L10
Language: English
Citation: B. P. Allahverdiev, H. Tuna, “Discontinuous matrix Sturm–Liouville problems”, Eurasian Math. J., 13:3 (2022), 8–22
Citation in format AMSBIB
\Bibitem{AllTun22}
\by B.~P.~Allahverdiev, H.~Tuna
\paper Discontinuous matrix Sturm--Liouville problems
\jour Eurasian Math. J.
\yr 2022
\vol 13
\issue 3
\pages 8--22
\mathnet{http://mi.mathnet.ru/emj442}
\crossref{https://doi.org/10.32523/2077-9879-2022-13-3-08-22}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4494208}
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    Citing articles in Google Scholar: Russian citations, English citations
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