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

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.

References in corpus (1)

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