On the Basis Property of the Root Functions of Sturm-Liouville Operators with General Regular Boundary Conditions

Cemile Nur; O. A. Veliev

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arXiv · 1306.1505

On the Basis Property of the Root Functions of Sturm-Liouville Operators with General Regular Boundary Conditions

Cemile Nur·O. A. Veliev

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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.

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BibTeX RIS

Cemile Nur, O. A. Veliev. 2013-06-06. On the Basis Property of the Root Functions of Sturm-Liouville Operators with General Regular Boundary Conditions. https://arxiv.org/abs/1306.1505

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