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 Mat. Zametki: Year: Volume: Issue: Page: Find

 Mat. Zametki, 2016, Volume 100, Issue 2, paper published in the English version journal (Mi mz11335)

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

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.

English version:
Mathematical Notes, 2016, 100:2, 291–297

Bibliographic databases:

Document Type: Article

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/mz11335} \crossref{https://doi.org/10.1134/S0001434616070245} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3588846} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000382193300024} \elib{http://elibrary.ru/item.asp?id=26414298} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84983802562}