Counterexample to Barcilon's uniqueness theorem for the fourth-order inverse spectral problem

DOI10.1007/S00025-024-02208-1MaRDI QIDQ6579324

Natalia Bondarenko

Publication date: 25 July 2024

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

zbMATH Keywords

counterexampleinverse spectral problemnon-uniquenessmethod of spectral mappingsfourth-order differential operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Isospectral Sets for Fourth-Order Ordinary Differential Operators
• Direct and Inverse Sturm-Liouville Problems
• Inverse problems and sharp eigenvalue asymptotics for Euler–Bernoulli operators

Related Items (1)

Solving Barcilon's inverse problems by the method of spectral mappings

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