On the basis property of the root functions of some class of non-self-adjoint Sturm-Liouville operators

Boundary value problems

Cemile Nur¹  Oktay A Veliev² 

[1] Department of Mathematics, Dogus University, Kadiköy, Istanbul, Turkey

关键词: asymptotic formulas;    regular boundary conditions;    Riesz basis;   

DOI  :  10.1186/1687-2770-2014-57

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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. MSC:34L05, 34L20.

【 授权许可】

CC BY