Spectral analysis of infinite Marchenko-Slavin matrices [PDF]
Opuscula MathematicaThis work tackles the problem of spectral characterization of a class of infinite matrices arising from the modeling of small oscillations in a system of interacting particles.
Sergio Palafox, Luis O. Silva
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A discrete Schrodinger spectral problem and associated evolution equations [PDF]
, 2002 A recently proposed discrete version of the Schrodinger spectral problem is considered. The whole hierarchy of differential-difference nonlinear evolution equations associated to this spectral problem is derived.
B Prinari +23 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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Inverse spectral problem for Dirac operators by spectral data
Filomat, 2017 This work deals with the solution of the inverse problem by spectral data for Dirac operators with piecewise continuous coefficient and spectral parameter contained in boundary condition. The main theorem on necessary and sufficient conditions for the solvability of inverse problem is proved. The algorithm of the reconstruction of potential
Akcay, Ozge, Mamedov, Khanlar R.
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On an inverse Robin spectral problem [PDF]
Inverse Problems, 2020 We consider the problem of the recovery of a Robin coefficient on a part $γ\subset \partial Ω$ 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 boundary condition on $\partial Ω\setminus γ$. We prove uniqueness, as
Santacesaria, Matteo +1 more
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Solution of the Dirichlet boundary value problem for the Sine-Gordon equation [PDF]
, 2002 The sine-Gordon equation in light cone coordinates is solved when Dirichlet conditions on the L-shape boundaries of the strip [0,T]X[0,infinity) are prescribed in a class of functions that vanish (mod 2 pi) for large x at initial time.
Ablowitz +15 more
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Inverse Sturm-Liouville problem with analytical functions in the boundary condition
Open Mathematics, 2020 The inverse spectral problem is studied for the Sturm-Liouville operator with a complex-valued potential and arbitrary entire functions in one of the boundary conditions.
Bondarenko Natalia Pavlovna
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ON THE INVERSE PROBLEM OF THE BITSADZE–SAMARSKII TYPE FOR A FRACTIONAL PARABOLIC EQUATION
Проблемы анализа, 2023 In this paper, the inverse problem of the Bitsadze–Samarsky type is studied for a fractional order equation with a Hadamard–Caputo fractional differentiation operator. The problem is solved using the spectral method.
R. R. Ashurov +2 more
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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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On the numerical solution of one inverse problem for a linearized two-dimensional system of Navier-Stokes equations [PDF]
Opuscula Mathematica, 2022 The paper studies the numerical solution of the inverse problem for a linearized two-dimensional system of Navier-Stokes equations in a circular cylinder with a final overdetermination condition.
Muvasharkhan Jenaliyev +2 more
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