Results 21 to 30 of about 267,596 (283)
Reconstruction of Higher-Order Differential Operators by Their Spectral Data
Mathematics, 2022 This paper is concerned with inverse spectral problems for higher-order (n>2) ordinary differential operators. We develop an approach to the reconstruction from the spectral data for a wide range of differential operators with either regular or ...
Natalia P. Bondarenko
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Linear Algebra and its Applications, 1975 AbstractIn this article an infinite periodic Jacobi matrix is under consideration. It is shown that the spectrum of the matrix consists of a single finite interval if and only if the period of the matrix is equal to unity.
Cheung, Shiu Ming, Hochstadt, Harry
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Frontiers in Neuroscience, 2023 Oscillatory processes at all spatial scales and on all frequencies underpin brain function. Electrophysiological Source Imaging (ESI) is the data-driven brain imaging modality that provides the inverse solutions to the source processes of the EEG, MEG ...
Deirel Paz-Linares +23 more
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Spectral, Scattering and Dynamics: Gelfand–Levitan–Marchenko–Krein Equations
Mathematics, 2023 In this paper, we consider the Gelfand–Levitan–Marchenko–Krein approach. It is used for solving a variety of inverse problems, like inverse scattering or inverse problems for wave-type equations in both spectral and dynamic formulations.
Sergey Kabanikhin +3 more
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Survey on the Inverse Spectral Problem [PDF]
Notices of the International Congress of Chinese Mathematicians, 2014 This is a survey of the inverse spectral problem on (mainly compact) Riemannian manifolds, with or without boundary. The emphasis is on wave invariants: on how wave invariants have been calculated and how they have been applied to concrete inverse spectral problems.
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, 2004 Many self-adjoint operators appearing in mathematical physics and geometry have their spectral data: eigenvalues informations of eigenvectors scattering matrices.
ISOZAKI Hiroshi
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A Numerical Method for Inverse Spectral Problems
Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software", 2015 На основе метода Галеркина разработан новый численный метод решения обратных спектральных задач, порожденных дискретными полуограниченными снизу операторами. В отличии от метода решения обратных спектральных задач, основанного на теории регуляризованных следов дискретных полуограниченными снизу операторов, в разработанном методе ослаблены ограничения ...
KADCHENKO S.I., ZAKIROVA G.A.
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The inverse spectral problem for indefinite strings [PDF]
, 2014 Motivated by the study of certain nonlinear wave equations (in particular, the Camassa-Holm equation), we introduce a new class of generalized indefinite strings associated with differential equations of the form \[-u"=z\,u\,\omega+z^2u\,\upsilon\] on an
Eckhardt, Jonathan, Kostenko, Aleksey
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Inverse spectral problem for Dirac operators by spectral data
Filomat, 2017 This work deals with the solution of the inverse problem by spectral data for Dirac operators with piecewise continuous coefficient and spectral parameter contained in boundary condition. The main theorem on necessary and sufficient conditions for the solvability of inverse problem is proved. The algorithm of the reconstruction of potential
Akcay, Ozge, Mamedov, Khanlar R.
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On an inverse Robin spectral problem [PDF]
Inverse Problems, 2020 We consider the problem of the recovery of a Robin coefficient on a part $γ\subset \partial Ω$ of the boundary of a bounded domain $Ω$ from the principal eigenvalue and the boundary values of the normal derivative of the principal eigenfunction of the Laplace operator with Dirichlet boundary condition on $\partial Ω\setminus γ$. We prove uniqueness, as
Santacesaria, Matteo +1 more
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