Results 21 to 30 of about 180,050 (282)
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 Parameterised Quadratic Inverse Eigenvalue Problem
East Asian Journal on Applied Mathematics, 2021 It is shown that if prescribed eigenvalues are distinct, then the parameterised quadratic inverse eigenvalue problem is equivalent to a multiparameter eigenvalue problem. Moreover, a sufficient condition for the problem solvability is established. In order to find approximate solution of this problem, we employ the Newton method based on the smooth $QR$
Xiang, Meiling, Dai, Hua
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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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A structured approach to design-for-frequency problems using the Cayley-Hamilton theorem [PDF]
, 2014 An inverse eigenvalue problem approach to system design is considered. The Cayley-Hamilton theorem is developed for the general case involving the generalized eigenvalue vibration problem.
Natalie Baddour, Patrick Dumond
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The Multiplicative Inverse Eigenvalue Problem over an Algebraically Closed Field [PDF]
, 2000 Let $M$ be a square matrix and let $p(t)$ be a monic polynomial of degree $n$. Let $Z$ be a set of $n\times n$ matrices. The multiplicative inverse eigenvalue problem asks for the construction of a matrix in $Z$ such that the product matrix $MZ$ has ...
Joachim Rosenthal +3 more
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A Test Matrix for an Inverse Eigenvalue Problem
Journal of Applied Mathematics, 2014 We present a real symmetric tridiagonal matrix of order n whose eigenvalues are {2k}k=0n-1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l+1}l=0n-2.
G. M. L. Gladwell +2 more
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, 2017 The nonnegative inverse eigenvalue problem (NIEP) asks which lists of $n$ complex numbers (counting multiplicity) occur as the eigenvalues of some $n$-by-$n$ entry-wise nonnegative matrix.
Johnson, Charles R. +3 more
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Well-posed Inverse Eigenvalue Problems [PDF]
Geophysical Journal of the Royal Astronomical Society, 2007 Summary Inverse eigenvalue problems associated with self-adjoint differential equations of order two or higher are considered. The question of what kind of data are necessary and sufficient to insure the existence of a unique solution is examined. A method of solution for well-posed inverse eigenvalue problems is then presented.
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