Inverse problems for Dirac operators with a constant delay less than half of the interval

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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