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Solving Inverse Problems with Spectral Data
2000We 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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Communications in Nonlinear Science and Numerical Simulation, 2020
Natalia P Bondarenko, Sergey Buterin
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Natalia P Bondarenko, Sergey Buterin
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On the half inverse spectral problem for an integro-differential operator
Inverse Problems in Science and Engineering, 2017Sergey Buterin
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An Inverse Spectral Problem W.R.T. Domain
2016In 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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The inverse interior transmission eigenvalue problem with mixed spectral data
Applied Mathematics and Computation, 2019Yu Ping Wang, Chung-Tsun Shieh
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Multidimensional inverse spectral problem for the equation ??? + (v(x) ? Eu(x))? = 0
Functional Analysis and Its Applications, 1989Roman G Novikov
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On inverse spectral problem for non-selfadjoint Sturm–Liouville operator on a finite interval
Journal of Mathematical Analysis and Applications, 2007Sergey Buterin
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