On the basis property of the root functions of some class of non-self-adjoint sturm-liouville operators
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CitationNUR, C., VELİEV, O.A. (2014). On the basis property of the root functions of some class of non-self-adjoint sturm-liouville operators. Boundary Value Problems, pp. 1-17. http://dx.doi.org/10.1186/1687-2770-2014-57.
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.