Direct and inverse problems for a third order self-adjoint differential operator with periodic boundary conditions and nonlocal potential

DOI10.1007/s00025-023-02052-9arXiv2212.10055OpenAlexW4388904339MaRDI QIDQ6143045

Jun Yan, Yixuan Liu

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2212.10055

zbMATH Keywords

inverse problemdirect problemthird ordernonlocal potentialperiodic boundary problem

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Inverse problems involving ordinary differential equations (34A55) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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• Ambarzumyan-type theorem for third order linear measure differential equations
• A Riemann–Hilbert approach for the Degasperis–Procesi equation
• Boussinesq's equation on the circle

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