Uniqueness of reconstruction of the Sturm–Liouville problem with spectral polynomials in nonseparated boundary conditions
- Autores: Sadovnichii V.A.1, Sultanaev Y.T.2,3, Akhtyamov A.M.3,4
-
Afiliações:
- Mechanics and Mathematics Faculty
- Bashkir State Pedagogical University
- Institute of Mechanics
- Bashkir State University
- Edição: Volume 94, Nº 1 (2016)
- Páginas: 461-463
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224150
- DOI: https://doi.org/10.1134/S1064562416040323
- ID: 224150
Citar
Resumo
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
Arquivos suplementares
