Inverse problem for Sturm–Liouville differential operators with finite number of constant delays

Abstract

In this manuscript, we study nonself-adjoint second-order differential operators with finite number of constantdelays. We investigate the properties of the spectral characteristics and the inverse problem of recovering operators fromtheir spectra. An inverse spectral problem is studied for recovering differential operator from the potential from spectraof two boundary value problems with one common boundary condition. The uniqueness theorem is proved for this inverseproblem.