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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
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
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
Linking options:
https://www.mathnet.ru/eng/mmj573 https://www.mathnet.ru/eng/mmj/v15/i3/p511
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