The inverse spectral problem for integro-differential operators

DOI10.1134/S0001434607050240zbMath1142.45006OpenAlexW1975414031MaRDI QIDQ2473770

Yu. V. Kuryshova

Publication date: 4 March 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607050240

zbMATH Keywords

stabilityinverse problemSturm-Liouville operatorinverse spectral problemnonlinear integral equationVolterra integral operatorintegro-differential operatorCauchy-Bunyakovskii inequality

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Eigenvalue problems for integral equations (45C05) Inverse problems for integral equations (45Q05)

Related Items (33)

Reconstruction of the Volterra-type integro-differential operator from nodal points ⋮ On uniqueness of recovering the convolution integro-differential operator from the spectrum of its non-smooth one-dimensional perturbation ⋮ On an inverse spectral problem for one integro-differential operator of fractional order ⋮ 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 ⋮ On recovering the Dirac operator with an integral delay from the spectrum ⋮ Inverse problems for second order integro-differential operators ⋮ Inverse nodal problems for Dirac-type integro-differential operators ⋮ Inverse Nodal Problems for Dirac-Type Integro-Differential Operators with Linear Functions in the Boundary Condition ⋮ An inverse spectral problem for Sturm-Liouville operators with frozen argument ⋮ Inverse nodal problems for Dirac type integro differential system with a nonlocal boundary condition ⋮ The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method ⋮ On an inverse spectral problem for first-order integro-differential operators with discontinuities ⋮ Inverse nodal problems for the Sturm-Liouville operator with a constant delay ⋮ On a Transformation Operator Approach in the Inverse Spectral Theory of Integral and Integro-Differential Operators ⋮ On the half inverse spectral problem for an integro-differential operator ⋮ On an inverse spectral problem for the convolution integro-differential operator of fractional order ⋮ Reconstruction of the Dirac-Type Integro-Differential Operator From Nodal Data ⋮ Inverse problems for first-order integro-differential operators ⋮ A trace formula for integro-differential operators on the finite interval ⋮ An inverse spectral problem for Sturm-Liouville operators with a large constant delay ⋮ Reconstruction for Sturm-Liouville operators with frozen argument for irrational cases ⋮ Inverse problems for Sturm-Liouville differential operators with a constant delay ⋮ On the reconstruction of a convolution perturbation of the Sturm-Liouville operator from the spectrum ⋮ Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph ⋮ 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 ⋮ A stability result for an inverse problem with integrodifferential operator on a finite interval ⋮ Inverse problems for one dimensional conformable fractional Dirac type integro differential system ⋮ On an inverse Regge problem for the Sturm - Liouville operator with deviating argument ⋮ An inverse nodal problem for integro-differential operators

Cites Work

• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
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