Reconstruction of potential of discontinuous Sturm — Liouville operator from spectral data

O. Akcay

Department of Computer Engineering, Faculty of Engineering, Munzur University, 62000 Tunceli, Turkey

Аннотация: We deal with the inverse spectral problem of the discontinuous Sturm — Liouville operator. The aim is we to determine the potential $q(x)$ and the boundary constant $h$ by a given spectral data. We provide the algorithm for reconstructing the potential $q(x)$ from the spectral data.

Ключевые слова: discontinuous Sturm — Liouville operator, inverse problem, spectral data.

MSC: 34A55, 34A36, 34B24

Поступила в редакцию: 07.02.2024

Язык публикации: английский

 Англоязычная версия: Ufa Mathematical Journal, 2024, 16:4, 116–123