Uniqueness of reconstruction of the Sturm–Liouville problem with spectral polynomials in nonseparated boundary conditions


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Uniqueness theorems for solutions of inverse Sturm–Liouville problems with spectral polynomials in nonseparated boundary conditions are proved. As spectral data two spectra and finitely many eigenvalues of the direct problem or, in the case of a symmetric potential, one spectrum and finitely many eigenvalues are used. The obtained results generalize the Levinson uniqueness theorem to the case of nonseparated boundary conditions containing polynomials in the spectral parameter.

Sobre autores

V. Sadovnichii

Mechanics and Mathematics Faculty

Autor responsável pela correspondência
Email: rector@msu.su
Rússia, Moscow, 119991

Ya. Sultanaev

Bashkir State Pedagogical University; Institute of Mechanics

Email: rector@msu.su
Rússia, ul. Oktyabr’skoi revolyutsii 3a, Ufa, Bashkortostan; ul. Karla Marksa 12, Ufa, 450025 Bashkortostan

A. Akhtyamov

Institute of Mechanics; Bashkir State University

Email: rector@msu.su
Rússia, ul. Karla Marksa 12, Ufa, 450025 Bashkortostan; ul. Zaki Validi 32, Ufa 450074 Bashkortostan

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