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Identification of discontinuous parameters in double phase obstacle problems
Advances in Nonlinear Analysis, 2022 In this article, we investigate the inverse problem of identification of a discontinuous parameter and a discontinuous boundary datum to an elliptic inclusion problem involving a double phase differential operator, a multivalued convection term (a ...
Zeng Shengda +3 more
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Three spectra inverse Sturm–Liouville problems with overlapping eigenvalues
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper we show that the Dirichlet spectra of three Sturm–Liouville differential operators defined on the intervals $[0,1]$, $[0,a]$ and $[a,1]$ for some $a\in (0,1)$ fixed, together with the knowledge of the normalizing constants corresponding to ...
Shouzhong Fu, Zhong Wang, Guangsheng Wei
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Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems
Advances in Difference Equations, 2020 This paper deals with a class of inverse spectral problems of fourth-order boundary value problems with eigenparameter-dependent boundary conditions.
Ji-jun Ao, Liang Zhang
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On the Uniqueness of Inverse Eigenvalue Problems [PDF]
Geophysical Journal International, 1974 Summary The inverse eigenvalue problem consisting of the differential equation dZn) - (pl u@- yn- 1) + . . . + ( - 1)” p, u = AU together with suitable boundary conditions is examined. It is shown that n + 1 spectra associated with n + 1 distinct sets of boundary conditions are required in order to reconstruct the unknown coefficients pl, ...,p,.
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Solvability and Stability of the Inverse Problem for the Quadratic Differential Pencil
Mathematics, 2021 The inverse spectral problem for the second-order differential pencil with quadratic dependence on the spectral parameter is studied. We obtain sufficient conditions for the global solvability of the inverse problem, prove its local solvability and ...
Natalia P. Bondarenko, Andrey V. Gaidel
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Inverse eigenvalue problems for the mantle [PDF]
Geophysical Journal International, 1980 We represent the earth as a sphere with radius R and assume that the material is perfectly elastic and isotropic. Thus we ignore ellipticity, rotation, damping, lateral inhomogeneities and anisotropy.
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Inverse Eigenvalue Problem of Unitary Hessenberg Matrices
Discrete Dynamics in Nature and Society, 2009 Let H∈ℂn×n be an n×n unitary upper Hessenberg matrix whose subdiagonal elements are all positive, let Hk be the kth leading principal submatrix of H, and let H˜k be a modified submatrix of Hk.
Chunhong Wu, Linzhang Lu
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Inverse eigenvalue problem of cell matrices
Czechoslovak Mathematical Journal, 2019 In this paper, we consider the problem of reconstructing an $n \times n$ cell matrix $D(\vec{x})$ constructed from a vector $\vec{x} = (x_{1}, x_{2},\dots, x_{n})$ of positive real numbers, from a given set of spectral data. In addition, we show that the spectrum of cell matrices $D(\vec{x})$ and $D(π(\vec{x}))$ are the same, for every permutation $π ...
Khim, Sreyaun, Rodtes, Kijti
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The inverse eigenvalue problem for entanglement witnesses [PDF]
Linear Algebra and its Applications, 2018 We consider the inverse eigenvalue problem for entanglement witnesses, which asks for a characterization of their possible spectra (or equivalently, of the possible spectra resulting from positive linear maps of matrices). We completely solve this problem in the two-qubit case and we derive a large family of new necessary conditions on the spectra in ...
Nathaniel Johnston, Everett Patterson
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Determination of the Impulsive Dirac Systems from a Set of Eigenvalues
Mathematics, 2023 In this work, we consider the inverse spectral problem for the impulsive Dirac systems on (0,π) with the jump condition at the point π2. We conclude that the matrix potential Q(x) on the whole interval can be uniquely determined by a set of eigenvalues ...
Ran Zhang, Chuanfu Yang, Kai Wang
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