On an inverse spectral problem for one integro-differential operator of fractional order

DOI10.1515/JIIP-2017-0121zbMath1411.45005OpenAlexW2801419324WikidataQ130050162 ScholiaQ130050162MaRDI QIDQ2633399

Yanyan Li

Publication date: 8 May 2019

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip-2017-0121

zbMATH Keywords

inverse spectral problemnonlocal operatorintegro-differential operator

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Integro-differential operators (47G20) Fractional ordinary differential equations (34A08)

Related Items (10)

Inverse nodal problem for a conformable fractional diffusion operator ⋮ On uniqueness of recovering the convolution integro-differential operator from the spectrum of its non-smooth one-dimensional perturbation ⋮ 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 ⋮ On a Transformation Operator Approach in the Inverse Spectral Theory of Integral and Integro-Differential Operators ⋮ On global solvability and uniform stability of one nonlinear integral equation ⋮ On solvability of one nonlinear integral equation in the class of analytic functions ⋮ A partial inverse problem for the Dirac system with an integral delay

Cites Work

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• On the reconstruction of a convolution perturbation of the Sturm-Liouville operator from the spectrum
• Inverse problem for integral operators
• On the similarity between Volterra operators and transformation operators for integro-differential operators of fractional order
• The inverse spectral problem for integro-differential operators
• On an inverse spectral problem for a convolution integro-differential operator
• The inverse problem of recovering the Volterra convolution operator from the incomplete spectrum of its rank-one perturbation
• INTEGRAL TRANSFORMS WITH KERNELS OF MITTAG-LEFFLER TYPE IN THE CLASSES $ L_p(0,\,+\infty)$, $ 1<p\leqslant2$

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