Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko's Method

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Published: Jan 31, 2021
DOI: https://doi.org/10.5556/j.tkjm.52.2021.3700
Keywords:
inverse spectral problems; Sturm-Liouville operator; singular potential; method of spectral mappings

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Natalia P. Bondarenko
https://orcid.org/0000-0003-2513-1472

Abstract

An inverse spectral problem for the Sturm-Liouville operator with a singular potential from the class $W_2^{-1}$ is solved by the method of spectral mappings. We prove the uniqueness theorem, develop a constructive algorithm for solution and obtain necessary and sufficient conditions of solvability for the inverse problem in the self-adjoint and the non-self-adjoint cases.

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How to Cite
Bondarenko, N. P. (2021). Solving An Inverse Problem For The Sturm-Liouville Operator With A Singular Potential By Yurko’s Method. Tamkang Journal of Mathematics, 52(1), 125–154. https://doi.org/10.5556/j.tkjm.52.2021.3700
Issue
Vol. 52 No. 1 (2021)
Section
Papers
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

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