Results 21 to 30 of about 173,375 (235)
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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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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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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The nonnegative inverse eigenvalue problem
Linear Algebra and its Applications, 2004 This is a survey paper on the inverse eigenvalue problem which in addition presents new results on the spectra of \(5\times 5\) symmetric nonnegative matrices.
Egleston, Patricia D +2 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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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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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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Important Issues on Spectral Properties of a Transmission Eigenvalue Problem
International Journal of Differential Equations, 2021 Nowadays, inverse scattering is an important field of interest for many mathematicians who deal with partial differential equations theory, and the research in inverse scattering is in continuous progress. There are many problems related to scattering by
Besiana Cobani +2 more
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