An Inverse Problem for Sturm-Liouville Operators on the Half-line Having Bessel-type Singularity in an Interior Point
Spectral Theory
2012-11-13 v1 Classical Analysis and ODEs
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.
Keywords
Cite
@article{arxiv.1211.2395,
title = {An Inverse Problem for Sturm-Liouville Operators on the Half-line Having Bessel-type Singularity in an Interior Point},
author = {Alexey Fedoseev},
journal= {arXiv preprint arXiv:1211.2395},
year = {2012}
}