On the half inverse spectral problem for an integro-differential operator

DOI10.1080/17415977.2016.1267171zbMath1390.45022OpenAlexW2555853005MaRDI QIDQ4638136

Murat Sat, Sergey Buterin

Publication date: 3 May 2018

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2016.1267171

zbMATH Keywords

convolution integral operatorSturm-Liouville differential operator

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Inverse problems involving ordinary differential equations (34A55) Integro-differential operators (47G20)

Related Items (13)

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 ⋮ An inverse spectral problem for Sturm-Liouville operators with frozen argument ⋮ An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel ⋮ On an inverse spectral problem for first-order integro-differential operators with discontinuities ⋮ 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 ⋮ Inverse spectral problems for Sturm-Liouville operators with a constant delay less than half the length of the interval and Robin boundary conditions ⋮ An inverse spectral problem for integro-differential Dirac operators with general convolution kernels ⋮ Inverse nodal problems for integro-differential operators with a constant delay ⋮ A partial inverse problem for the Dirac system with an integral delay

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