Authors: L. I. MAMMADOVA, I. M. NABIEV

Abstract. In the article we consider the  Sturm-Liouville operator with semiseparated boundary conditions, one of which contains a spectral parameter. An asymptotic formula for the eigenvalues of the operator under consideration is given and a uniqueness theorem for the solution of the inverse problem of recovering the corresponding boundary value problems is proved.

Keywords: Sturm-Liouville operator, eigenvalues, inverse problem, uniqueness theorem

DOI:  https://doi.org/10.32010/j.bmj.2022.05