Results 11 to 20 of about 342,447 (287)
Inverse spectral problem for Jacobi operators and Miura transformation
Concrete Operators, 2021 We study a Miura-type transformation between Kac - van Moerbeke (Volterra) and Toda lattices in terms of the inverse spectral problem for Jacobi operators, which appear in the Lax representation for such systems.
Osipov Andrey
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Nonlocal Inverse Problem for a Pseudohyperbolic- Pseudoelliptic Type Integro-Differential Equations
Axioms, 2020 The questions of solvability of a nonlocal inverse boundary value problem for a mixed pseudohyperbolic-pseudoelliptic integro-differential equation with spectral parameters are considered.
Tursun K. Yuldashev
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Inverse Steklov Spectral Problem for Curvilinear Polygons [PDF]
International Mathematics Research Notices, 2020 Abstract This paper studies the inverse Steklov spectral problem for curvilinear polygons. For generic curvilinear polygons with angles less than $\pi $, we prove that the asymptotics of Steklov eigenvalues obtained in [ 20] determines, in a constructive manner, the number of vertices and the properly ordered sequence of side lengths, as
Krymski, S +4 more
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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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Mathematics, 2022 In this work, a novel integrable evolution system in the sense of Lax’s scheme associated with a mixed spectral Ablowitz-Kaup-Newell-Segur (AKNS) matrix problem is first derived.
Sheng Zhang, Jiao Gao, Bo Xu
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Boundary Value Problems, 2018 Inverse nodal problems for Sturm–Liouville equations associated with boundary conditions polynomially dependent on the spectral parameter are studied. The authors show that a twin-dense subset WB([a,b]) $W_{B}([a,b])$ can uniquely determine the operator ...
Yu Ping Wang +2 more
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Global solvability of the inverse spectral problem for differential systems on a finite interval [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe inverse spectral problem is studied for non-selfadjoint systems of ordinary differential equations on a finite interval. We provide necessary and sufficient conditions for the global solvability of the inverse problem, along with an algorithm for ...
Yurko, Vjacheslav Anatol'evich
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The inverse spectral problem for indefinite strings [PDF]
, 2014 Motivated by the study of certain nonlinear wave equations (in particular, the Camassa-Holm equation), we introduce a new class of generalized indefinite strings associated with differential equations of the form \[-u"=z\,u\,\omega+z^2u\,\upsilon\] on an
Eckhardt, Jonathan, Kostenko, Aleksey
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Boundary Value Problems, 2020 We consider the non-self-adjoint Sturm–Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers.
Natalia P. Bondarenko
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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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