Results 11 to 20 of about 15,028 (168)
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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On Recovering Differential Operators on a Closed Set from Spectra [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 The Sturm – Liouville differential operators on closed sets of the real line are considered. Properties of their spectral characteristics are obtained and the inverse problem of recovering the operators from their spectra is studied. An algorithm for the
Yurko, Vyacheslav Anatol'evich
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Spectral asymptotics for inverse nonlinear Sturm-Liouville problems
Electronic Journal of Qualitative Theory of Differential Equations, 2009 We consider the nonlinear Sturm-Liouville problem $$ -u''(t) + f(u(t), u'(t)) = \lambda u(t), \quad u(t) > 0, \quad t \in I := (-1/2, 1/2), \quad u(\pm 1/2) = 0, $$ where $f(x, y) = \vert x\vert^{p-1}x - \vert y\vert^m$, $p > 1, 1 \le m < 2$ are ...
Tetsutaro Shibata
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Results in Applied Mathematics, 2020 This paper deals with non-self-adjoint second-order differential operators with two constant delays from [π∕2,π)and two potentials from L20,π.
Biljana Vojvodic +2 more
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Well-posed inverse spectral problems [PDF]
Proceedings of the National Academy of Sciences, 1975 It is known that if complete spectral data are provided, the potential function in a Sturm-Liouville operator is uniquely determined almost everywhere. If two such operators have spectra that differ in a finite number of eigenvalues, then the corresponding potential functions will no longer be the same. However, as is demonstrated when the nonidentical
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Solution of the inverse spectral problem for differential operators on a finite interval with complex weights [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаNon-self-adjoint second-order ordinary differential operators on a finite interval with complex weights are studied. Properties of spectral characteristics are established, and the inverse problem of recovering operators from their spectral ...
Yurko, Vjacheslav Anatol'evich
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Direct and inverse spectral problems for Dirac systems with nonlocal potentials [PDF]
Opuscula Mathematica, 2019 The main purposes of this paper are to study the direct and inverse spectral problems of the one-dimensional Dirac operators with nonlocal potentials. Based on informations about the spectrum of the operator, we find the potential and recover the form of
Kamila Dębowska, Leonid P. Nizhnik
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Inverse Spectral Problems for Schrödinger Operators [PDF]
Communications in Mathematical Physics, 2009 In this article we improve some of the inverse spectral results proved by Guillemin and Uribe in \cite{GU}. They proved that under some symmetry assumptions on the potential $V(x)$, the Taylor expansion of $V(x)$ near a non-degenerate global minimum can be recovered from the knowledge of the low-lying eigenvalues of the associated Schr dinger operator
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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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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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