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- Title
Uniqueness of reconstruction of the Sturm-Liouville problem with spectral polynomials in nonseparated boundary conditions.
- Authors
Sadovnichii, V.; Sultanaev, Ya.; Akhtyamov, A.
- Abstract
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.
- Subjects
NUMERICAL solutions to Sturm-Liouville equations; POLYNOMIALS; BOUNDARY value problems; DIFFERENTIAL equations; EIGENVALUES
- Publication
Doklady Mathematics, 2016, Vol 94, Issue 1, p461
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562416040323