Inverse spectral problems for first order integro-differential operators

DOI10.1186/S13661-017-0831-8zbMath1381.47032arXiv1702.00788OpenAlexW2724728601WikidataQ59515876 ScholiaQ59515876MaRDI QIDQ2362523

Vjacheslav Anatoljevich Yurko

Publication date: 10 July 2017

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.00788

zbMATH Keywords

uniqueness theoreminverse spectral problemsintegro-differential operators

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General spectral theory of ordinary differential operators (34L05) Inverse problems involving ordinary differential equations (34A55) Integro-differential operators (47G20)

Related Items (7)

On uniqueness of recovering the convolution integro-differential operator from the spectrum of its non-smooth one-dimensional perturbation ⋮ Inverse problems of recovering first-order integro-differential operators from spectra ⋮ Necessary and sufficient conditions for the spectra of the Sturm-Liouville operators with frozen argument ⋮ Inverse spectral problem for integro-differential Sturm-Liouville operators with discontinuity conditions ⋮ Uniform full stability of recovering convolutional perturbation of the Sturm-Liouville operator from the spectrum ⋮ Uniform stability of the inverse spectral problem for a convolution integro-differential operator ⋮ Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator

Cites Work

• On inverse problem for a convolution integro-differential operator with Robin boundary conditions
• Method of spectral mappings in the inverse problem theory
• On the reconstruction of a convolution perturbation of the Sturm-Liouville operator from the spectrum
• An inverse spectral problem for differential operators with integral delay
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