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

Cemile Nur; O.A.veliev

arxiv: 1301.7043 · v1 · pith:YXDZLE43new · submitted 2013-01-29 · 🧮 math.SP

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

Cemile Nur , O.A.veliev This is my paper

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keywords operatorsbasisconditionsformulasfunctionsrootsomeasymptotic

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

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