Inverse nodal problems for Dirac differential operators with jump condition
Analysis of PDEs
2025-03-05 v2 Spectral Theory
Abstract
This paper deals with an inverse nodal problem for the Dirac differential operator with the discontinuity conditions inside the interval. We obtain a new approach for asymptotic expressions of the solutions and prove that the coefficients of the Dirac system can be determined uniquely by a dense subset of the nodal points (zeros of the first component of the eigenfunction). We also provide an algorithm for constructing the solution of this inverse nodal problem.
Cite
@article{arxiv.2503.01403,
title = {Inverse nodal problems for Dirac differential operators with jump condition},
author = {Baki Keskin},
journal= {arXiv preprint arXiv:2503.01403},
year = {2025}
}