A class of higher order inverse spectral problems
Spectral Theory
2024-02-29 v1
Abstract
In this paper, we consider the recovery of third-order differential operators from two spectra, as well as fourth-order or fifth-order differential operators from three spectra, where these differential operators are endowed with complex-valued distributional coefficients. For the case of multiple spectra, we first establish the relationship between spectra and the Weyl-Yurko matrix. Secondly, we prove the uniqueness theorem for the solution of the inverse problems. Our approach allows us to obtain results for the general case of complex-valued distributional coefficients.
Cite
@article{arxiv.2402.18343,
title = {A class of higher order inverse spectral problems},
author = {Ai-Wei Guan and Chuan-Fu Yang and Natalia P. Bondarenko},
journal= {arXiv preprint arXiv:2402.18343},
year = {2024}
}