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Matematicheskie Zametki, 2016, Volume 100, Issue 2, paper published in the English version journal (Mi mzm11335)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

On Sharp Asymptotic Formulas for the Sturm–Liouville Operator with a Matrix Potential

F. Seref, O. A. Veliev

Dogus University, Istanbul, Turkey
Citations (1)
Abstract: In this article we obtain the sharp asymptotic formulas for the eigenvalues and eigenfunctions of the non-self-adjoint operators generated by a system of the Sturm–Liouville equations with Dirichlet and Neumann boundary conditions. Using these asymptotic formulas, we find a condition on the potential for which the root functions of these operators form a Riesz basis.
Keywords: differential operator, matrix potential, asymptotic formulas, Riesz basis.
Received: 18.02.2016
English version:
Mathematical Notes, 2016, Volume 100, Issue 2, Pages 291–297
DOI: https://doi.org/10.1134/S0001434616070245
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. Seref, O. A. Veliev, “On Sharp Asymptotic Formulas for the Sturm–Liouville Operator with a Matrix Potential”, Math. Notes, 100:2 (2016), 291–297
Citation in format AMSBIB
\Bibitem{SerVel16}
\by F.~Seref, O.~A.~Veliev
\paper On Sharp Asymptotic Formulas for the Sturm--Liouville Operator with a Matrix Potential
\jour Math. Notes
\yr 2016
\vol 100
\issue 2
\pages 291--297
\mathnet{http://mi.mathnet.ru/mzm11335}
\crossref{https://doi.org/10.1134/S0001434616070245}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3588846}
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\elib{https://elibrary.ru/item.asp?id=26414298}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84983802562}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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