2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69525Half-inverse spectral problem for a Sturm--Liouville operator consists in reconstruction of this operator by its spectrum and half of the potential. We give the necessary and sufficient conditions for solvability of the half-inverse spectral problem for the class of Sturm--Liouville operators with singular potentials from the space $W^{-1}_2(0,1)$ and provide the reconstruction algorithm.21 pagesSpectral TheoryClassical Analysis and ODEsPrimary 34A55, Secondary 34B24, 34L05text