Cite this article as:
??? Inverse problem for Sturm–Liouville operator on the half-line having nonintegrable singularity in an interior point . Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2012, vol. 12, iss. 4, pp. 49-55. DOI: https://doi.org/10.18500/1816-9791-2012-12-4-49-55
Language:
Russian
Heading:
UDC:
517.927
Inverse problem for Sturm–Liouville operator on the half-line having nonintegrable singularity in an interior point
Abstract:
The inverse problem of recovering Sturm–Liouville operators on the half-line with a nonintegrable Bessel-type singularity in an interior point from the given Weyl function is studied. The corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided. Necessary and sufficient conditions of the solvability of the inverse problem are obtained.
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