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Moscow Mathematical Journal, 2015, Volume 15, Number 3, Pages 511–526
DOI: https://doi.org/10.17323/1609-4514-2015-15-3-511-526 (Mi mmj573) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the basis property of the root functions of Sturm–Liouville operators with general regular boundary conditions

Cemile Nur, O. A. Veliev

Department of Mathematics, Dogus University, Kadiköy, Istanbul, Turkey
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DOI: https://doi.org/10.17323/1609-4514-2015-15-3-511-526
Abstract: We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm–Liouville operators with general regular boundary conditions. Using these formulas, we find sufficient conditions on the potential $q$ such that the root functions of these operators do not form a Riesz basis.
Key words and phrases: asymptotic formulas, regular boundary conditions, Riesz basis.
Received: June 14, 2013; in revised form December 3, 2014
Bibliographic databases:
Document Type: Article
MSC: 34L05, 34L20
Language: English
Citation: Cemile Nur, O. A. Veliev, “On the basis property of the root functions of Sturm–Liouville operators with general regular boundary conditions”, Mosc. Math. J., 15:3 (2015), 511–526
Citation in format AMSBIB
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\paper On the basis property of the root functions of Sturm--Liouville operators with general regular boundary conditions
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\yr 2015
\vol 15
\issue 3
\pages 511--526
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