PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, vol.49, no.2, pp.219-227, 2023 (ESCI)
Diffusion and Sturm-Liouville equations under semi-separated boundary conditions, one of which contains a quadratic function of the spectral parameter are considered in this paper. Some properties of the spectrum of the operators under consideration are given, uniqueness the-orems are proved, and algorithms for solving inverse recovery problems for the corresponding boundary value problems are constructed.