On the uniform stability of recovering sine-type functions with asymptotically separated zeros

DOI10.1134/S0001434622030026zbMath1503.34053arXiv2110.00526OpenAlexW3202561486MaRDI QIDQ2133813

Sergey Buterin

Publication date: 5 May 2022

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

Full work available at URL: https://arxiv.org/abs/2110.00526

zbMATH Keywords

uniform stabilityeigenvaluesLipschitz stabilityinfinite productcharacteristic determinantsine-type functionstrongly regular differential operator

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (8)

Inverse problems for Dirac operators with constant delay less than half of the interval ⋮ Inverse spectral problems for Dirac-type operators with global delay on a star graph ⋮ Uniform stability of recovering Sturm-Liouville-type operators with frozen argument ⋮ Inverse problem for Dirac operators with a constant delay less than half the length of the interval ⋮ On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions ⋮ Functional-differential operators on geometrical graphs with global delay and inverse spectral problems ⋮ Inverse problems for Dirac operators with constant delay: uniqueness, characterization, uniform stability ⋮ Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition

Cites Work

• Unnamed Item
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• Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Inverse problem for integral operators
• Transformation operators for Sturm--Liouville operators with singular potentials
• Direct and inverse problems for the matrix Sturm-Liouville operator with general self-adjoint boundary conditions
• Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations
• An inverse spectral problem for second-order functional-differential pencils with two delays
• On recovering the Dirac operator with an integral delay from the spectrum
• Inverse spectral reconstruction problem for the convolution operator perturbed by a one-dimensional operator
• On an inverse spectral problem for a convolution integro-differential operator
• 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
• Analyticity and uniform stability in the inverse singular Sturm–Liouville spectral problem
• INTERPOLATION BY MEANS OF SPECIAL CLASSES OF ENTIRE FUNCTIONS AND RELATED EXPANSIONS IN SERIES OF EXPONENTIALS
• A 2-edge partial inverse problem for the Sturm-Liouville operators with singular potentials on a star-shaped graph
• Analyticity and uniform stability in the inverse spectral problem for Dirac operators

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