Results 11 to 20 of about 17,806 (305)
Inverse Spectral Problems for Arbitrary-Order Differential Operators with Distribution Coefficients
Mathematics, 2021 In this paper, we propose an approach to inverse spectral problems for the n-th order (n≥2) ordinary differential operators with distribution coefficients.
Natalia P. Bondarenko
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Mathematics, 2023 In this paper, we consider a class of matrix functions that contains regularization matrices of Mirzoev and Shkalikov for differential operators with distribution coefficients of order n≥2.
Natalia P. Bondarenko
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Inverse spectral problems for first order integro-differential operators
Boundary Value Problems, 2017 Inverse spectral problems are studied for the first order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and the uniqueness theorem is proved for this class of inverse problems.
Vjacheslav Yurko
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Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries.
Gusein Sh. Guseinov
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Electronic Journal of Differential Equations, 2015 In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given ...
Manaf Dzh. Manafov, Abdullah Kablan
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Adaptive Spectral Inversion for inverse medium problems
Inverse Problems, 2023 Abstract A nonlinear optimization method is proposed for the solution of inverse medium problems with spatially varying properties. To avoid the prohibitively large number of unknown control variables resulting from standard grid-based representations, the misfit is instead minimized in a small subspace spanned by the first few ...
Yannik G Gleichmann, Marcus J Grote
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On an inverse Robin spectral problem [PDF]
Inverse Problems, 2020 Abstract We consider the problem of the recovery of a Robin coefficient on a part γ ⊂ ∂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
Santacesaria, Matteo +1 more
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Adaptive spectral decompositions for inverse medium problems [PDF]
Inverse Problems, 2021 Abstract Inverse medium problems involve the reconstruction of a spatially varying unknown medium from available observations by exploring a restricted search space of possible solutions. Standard grid-based representations are very general but all too often computationally prohibitive due to the high dimension of
Daniel H Baffet +2 more
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Partial Inverse Sturm-Liouville Problems
Mathematics, 2023 This paper presents a review of both classical and modern results pertaining to partial inverse spectral problems for differential operators. Such problems consist in the recovery of differential expression coefficients in some part of the domain (a ...
Natalia P. Bondarenko
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Inverse Spectral Problem for a Damped Wave Operator [PDF]
SIAM Journal on Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gang Bao 0004, Xiang Xu, Jian Zhai
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