On the Basis Property of the Root Functions of Some Class of Non-self-adjoint Sturm--Liouville Operators

Cemile Nur; O. A. Veliev

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arXiv · 1301.7043

On the Basis Property of the Root Functions of Some Class of Non-self-adjoint Sturm--Liouville Operators

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 some 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. 2013-01-29. On the Basis Property of the Root Functions of Some Class of Non-self-adjoint Sturm--Liouville Operators. https://arxiv.org/abs/1301.7043

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