Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method

Natalia P. Bondarenko

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arXiv · 2004.14721

Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method

Natalia P. Bondarenko

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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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BibTeX RIS

Natalia P. Bondarenko. 2020-04-30. Solving an inverse problem for the Sturm-Liouville operator with a singular potential by Yurko's method. https://arxiv.org/abs/2004.14721

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