Uniqueness of reconstruction of an \(n\)th-order differential operator with nonseparated boundary conditions by several spectra

DOI10.1134/S106456242001007XzbMath1485.34085OpenAlexW3028345591MaRDI QIDQ2243698

Ya. T. Sultanaev, Azamat M. Akhtyamov, Victor A. Sadovnichij

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456242001007x

zbMATH Keywords

inverse problemuniqueness theoremnonseparated boundary conditionshigher-order differential operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability
• An inverse problem for the Sturm-Liouville operator with nonseparable self-adjoint boundary conditions
• The inverse spectral problem for differential operators with nonseparated boundary conditions
• The inverse Sturm–Liouville problem with mixed boundary conditions
• INVERSE PROBLEMS OF SPECTRAL ANALYSIS FOR STURM-LIOUVILLE OPERATORS WITH NONSEPARATED BOUNDARY CONDITIONS
• On reconstruction of a matrix by its minors
• Reconstruction formula for the potential function of Sturm–Liouville problem with eigenparameter boundary condition
• INVERSE PROBLEMS OF SPECTRAL ANALYSIS FOR STURM-LIOUVILLE OPERATORS WITH NONSEPARATED BOUNDARY CONDITIONS. II
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