For citation:
Fedoseev A. E. Inverse problem for Sturm–Liouville operator on the half-line having nonintegrable singularity in an interior point. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, vol. 12, iss. 4, pp. 49-55. DOI: 10.18500/1816-9791-2012-12-4-49-55
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
15.11.2012
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Russian
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UDC:
517.927
Inverse problem for Sturm–Liouville operator on the half-line having nonintegrable singularity in an interior point
Autors:
Fedoseev Alexey Evgen'evich, Saratov State University
Abstract:
The inverse problem of recovering Sturm–Liouville operators on the half-line with a nonintegrable Bessel-type singularity in an interior point from the given Weyl function is studied. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided. Necessary and sufficient conditions of the solvability of the inverse problem are obtained.
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