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Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
Author(s) -
Xuewen Wu
Publication year - 2021
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2021/1681873
Subject(s) - sturm–liouville theory , eigenvalues and eigenvectors , mathematics , rank (graph theory) , operator (biology) , inverse , mathematical analysis , function (biology) , combinatorics , physics , boundary value problem , biochemistry , chemistry , geometry , repressor , quantum mechanics , evolutionary biology , biology , transcription factor , gene
This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.

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