DISTRIBUTION OF SPECTRUM OF STURM–LIOUVILLE OPERATOR PERTURBED BY DELTA INTERACTION

We consider singular Sturm–Liouville operator, perturbed by Dirac delta function. The smooth potention grows at infinity and ensures the discreteness of the spectrum of the unperturbed operator. We study the distribution of the perturbed operator and establish asymptotic behavior of the eigenvalues depending on the parameters of the perturbation.