Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition
Spectral Theory
2025-04-08 v1
Abstract
This paper deals with the Sturm-Liouville problem with singular potential of the Sobolev space and polynomials of the spectral parameter in a boundary condition. We prove the uniform boundedness and the uniform stability for the inverse spectral problem in the general non-self-adjoint case. It is remarkable that our stability estimates are valid for some cases with different degrees of the polynomials for two compared operators.
Keywords
Cite
@article{arxiv.2504.04203,
title = {Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition},
author = {N. P. Bondarenko and E. E. Chitorkin},
journal= {arXiv preprint arXiv:2504.04203},
year = {2025}
}