Inverse Problems for Dirac Operators with Constant Delay: Uniqueness, Characterization, Uniform Stability

We initiate studying inverse spectral problems for Dirac-type functional-differential operators with constant delay. For simplicity, we restrict ourselves to the case when delay parameter is not less than one half of interval. considered case, however, give answers full range questions usually raised in theory. Specifically, reconstruction two complex $$L_{2}$$ -potentials studied from either complete spectra or subspectra boundary value common condition. conditions on that are necessary and sufficient unique determination potentials. Moreover, solvability both obtained. problem recovering spectra, establish also uniform stability each ball a finite radius. this purpose, use recent results sine-type functions asymptotically separated zeros.