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Inverse spectral problem for delta potentials

JETP Letters, 2015
The scattering problem for the linear Schrodinger equation on the entire axis has been considered. Conditions under which the knowledge of the discrete spectrum of the Schrodinger operator is sufficient for the reconstruction of the potential have been determined.
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Inverse Spectral Problems for Differential Systems

2019
Inverse problems of spectral analysis for non-selfadjoint systems of ordinary differential equations are studied. We establish properties of the spectral characteristics, give statements of the inverse problems, prove uniqueness theorems, obtain algorithms for the solutions of the inverse problems and provide necessary and sufficient conditions for ...
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Inverse Boundary Spectral Problems

2001
Alexander Kachalov   +2 more
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Solving Inverse Problems with Spectral Data

2000
We consider a two dimensional membrane. The goal is to find properties of the membrane or properties of a force on the membrane. The data is natural frequencies or mode shape measurements. As a result, the functional relationship between the data and the solution of our inverse problem is both indirect and nonlinear.
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An Inverse Spectral Problem W.R.T. Domain

2016
In the paper, the inverse problem with respect to (w.r.t.) domain for two-dimensional Schrodinger operator and operator L = ???? is considered. The definition of s-functions is introduced. The method of determination of the domain by a given set of functions is proposed.
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