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

100%

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.

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Spectral analysis of singular Sturm-Liouville operators on time scales

88%

Allahverdiev B. P., Tuna H.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2018

tom 72

nr 1

In this paper, we consider properties of the spectrum of a Sturm-Liouvilleoperator on time scales. We will prove that the regular symmetricSturm-Liouville operator is semi-bounded from below. We will also give someconditions for the self-adjoint operator associated with the singularSturm-Liouville expression to have a discrete spectrum. Finally, we willinvestigate the continuous spectrum of this operator.

Ograniczanie wyników

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Open Mathematics

1 Allahverdiev B. P.

1 Fedoseev A.

1 Tuna H.

1 2018

1 2013

Wyniki wyszukiwania

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

Spectral analysis of singular Sturm-Liouville operators on time scales