# An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point

Open Mathematics (2013)

- Volume: 11, Issue: 12, page 2203-2214
- ISSN: 2391-5455

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topAlexey Fedoseev. "An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point." Open Mathematics 11.12 (2013): 2203-2214. <http://eudml.org/doc/269218>.

@article{AlexeyFedoseev2013,

abstract = {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.},

author = {Alexey Fedoseev},

journal = {Open Mathematics},

keywords = {Inverse problem; Sturm-Liouville operator; Nonintegrable singularity; Weyl function; inverse problem; nonintegrable singularity},

language = {eng},

number = {12},

pages = {2203-2214},

title = {An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point},

url = {http://eudml.org/doc/269218},

volume = {11},

year = {2013},

}

TY - JOUR

AU - Alexey Fedoseev

TI - An inverse problem for Sturm-Liouville operators on the half-line having Bessel-type singularity in an interior point

JO - Open Mathematics

PY - 2013

VL - 11

IS - 12

SP - 2203

EP - 2214

AB - 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.

LA - eng

KW - Inverse problem; Sturm-Liouville operator; Nonintegrable singularity; Weyl function; inverse problem; nonintegrable singularity

UR - http://eudml.org/doc/269218

ER -

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