An inverse problem for Sturm–Liouville operators on the half-line with complex weights

Author:

Yurko Vjacheslav1ORCID

Affiliation:

1. Department of Mathematics , Saratov State University , Astrakhanskaya 83 , Saratov 410012 , Russia

Abstract

Abstract Second order differential operators on the half-line with complex-valued weights are considered. Properties of spectral characteristics are established, and the inverse problem of recovering operator’s coefficients from the given Weyl-type function is studied. The uniqueness theorem is proved for this class of nonlinear inverse problems, and a number of examples are provided.

Funder

Ministry of Education and Science of the Russian Federation

Russian Foundation for Basic Research

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Reference11 articles.

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3. A. Darwish, The inverse scattering problem for a singular boundary value problem, New Zeland J. Math. 22 (1993), 37–56.

4. Z. F. A. El-Reheem, The inverse scattering problem for some singular Sturm–Liouville operator, Pure Math. Appl. 8 (1997), no. 2–4, 233–246.

5. G. Freilng and V. A. Yurko, Inverse problems for differential equations with turning points, Inverse Problems, 13 (1997), no. 5, 1247–1263.

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