In this work, we consider Dirac-type operators with a constant delay less
than half of the interval and not less than two-fifths of the interval. For our
considered Dirac-type operators, two inverse spectral problems are studied.
Specifically, reconstruction of two complex L2​-potentials is studied from
complete spectra of two boundary value problems with one common Dirichlet
boundary condition and Neumann boundary condition, respectively. We give
answers to the full range of questions usually raised in the inverse spectral
theory. That is, we give uniqueness, necessary and sufficient conditions of the
solvability, reconstruction algorithm and uniform stability for our considered
inverse problems.Comment: arXiv admin note: text overlap with arXiv:2204.08259 by other author