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

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Fedoseev A.

Open Mathematics

2013

tom 11

nr 12

2203-2214

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.

Ograniczanie wyników

1 Open Mathematics

1 Fedoseev A.

1 2013

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