We study the inverse problem of recovering Sturm-Liouville operators on the half-line with a Bessel-type singularity inside the interval from the given Weyl function. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided, also necessary and sufficient conditions for the solvability of the inverse problem are obtained.
@article{bwmeta1.element.doi-10_2478_s11533-013-0315-8,
author = {Alexey Fedoseev},
title = {An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {2203-2214},
zbl = {1296.34061},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0315-8}
}
Alexey Fedoseev. An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point. Open Mathematics, Tome 11 (2013) pp. 2203-2214. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0315-8/
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