Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition

N. P. Bondarenko; E. E. Chitorkin

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arXiv · 2504.04203

Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition

N. P. Bondarenko·E. E. Chitorkin

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Abstract

This paper deals with the Sturm-Liouville problem with singular potential of the Sobolev space $W_2^{-1}$ 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.

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BibTeX RIS

N. P. Bondarenko, E. E. Chitorkin. 2025-04-05. Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition. https://arxiv.org/abs/2504.04203

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