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Uniform stability of the inverse Sturm-Liouville problem with polynomials in a boundary condition (2504.04203v1)
Published 5 Apr 2025 in math.SP
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.