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<p>This paper deals with the Sturm-Liouville problem with singular potential of the Sobolev space <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(W_2^{-1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>W</mi> <mn>2</mn> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> </math></EquationSource> </InlineEquation> 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.</p>

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Uniform Stability of the Inverse Sturm-Liouville Problem with Polynomials in a Boundary Condition

  • 期刊论文

  • 发表日期：

    2025年12月17日

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  • Natalia Pavlovna Bondarenko,
  • Egor Evgenevich Chitorkin

摘要

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