An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point
Alexey Fedoseev
Open Mathematics, Tome 11 (2013), p. 2203-2214 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:269218
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     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}
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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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