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

Author:

Wang Feng1ORCID,Yang Chuan-Fu1ORCID

Affiliation:

1. School of Mathematics and Statistics, Nanjing University of Science and Technology , Nanjing 210094, Jiangsu, China

Abstract

In this work, we consider Dirac-type operators with a constant delay of 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 boundary condition y1(0) = 0 or y2(0) = 0. 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.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

Publisher

AIP Publishing

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On Recovering Dirac Operators with Two Delays;Complex Analysis and Operator Theory;2024-05-29

2. Inverse spectral problems for Dirac-type operators with global delay on a star graph;Analysis and Mathematical Physics;2024-03-10

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