Cite this article as:
Fedoseev A. E. Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for Sturm–Liouville Operators with a Nonintegrable Singularity Inside a Finite Interval. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2013, vol. 13, iss. 3, pp. 59-64. DOI: https://doi.org/10.18500/1816-9791-2013-13-3-59-64
Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for Sturm–Liouville Operators with a Nonintegrable Singularity Inside a Finite Interval
The inverse spectral problem of recovering Sturm–Liouville operators on a finite interval with a nonintegrable Bessel-type singularity
in an interior point from the given spectral data is studied. A corresponding uniqueness theorem is proved, a constructive procedure
for the solution of the inverse problem is provided. Necessary and sufficient conditions for the solvability of the inverse problem are
obtained.
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