Kavli Affiliate: Feng Wang

| First 5 Authors: Feng Wang, Chuan-Fu Yang

| Summary:

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, an inverse spectral problem is studied.

Specifically, reconstruction of two complex $L_{2}$-potentials is studied from

complete spectra of two boundary value problems with one common boundary

condition. 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 problem.

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