Results 41 to 50 of about 652,963 (179)

The inverse spectral problem for the discrete cubic string

, 2006
Given a measure $m$ on the real line or a finite interval, the "cubic string" is the third order ODE $-\phi'''=zm\phi$ where $z$ is a spectral parameter.
Beals R, Beals R, Degasperis A Procesi M Degasperis A Gaeta G, Dym H, Fomin S, Gantmacher F P, Hans Lundmark, Holm D D, Hone A N W, Hunter J K, Jacek Szmigielski, Jennifer Kohlenberg, Johnson R S, Kac I S, Krein M G, Krein M G, Lundmark H, Lundmark H, Stieltjes T J, Vakhnenko V A, Vakhnenko V O   +20 more
core   +1 more source

Inverse Spectral Problems for Weighted Graphs

Mohyla Mathematical Journal, 2022
The paper is devoted to inverse spectral problems for weighted graphs. We give the sharp upper bound for spectral reconstruction number of trees and unicyclic graphs.
Pylypiva, Oleksandra, Tymoshkevych, Larysa   +1 more
openaire   +2 more sources

Continued fraction solution of Krein's inverse problem

, 2011
The spectral data of a vibrating string are encoded in its so-called characteristic function. We consider the problem of recovering the distribution of mass along the string from its characteristic function.
Borodin A N, Boumenir A, Donati-Martin C, Dym H, Dym H, Dym H, Gantmacher F R, Kac I S, Knight F B, Stieltjes T J, Wall H S, Watanabe S, Yves Tourigny   +12 more
core   +1 more source

An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line [PDF]

, 2014
The matrix Sturm-Liouville operator with an integrable potential on the half-line is considered. The inverse spectral problem is studied, which consists in recovering of this operator by the Weyl matrix.
N. Bondarenko
semanticscholar   +1 more source

An Inverse Spectral Problem Related to the Geng–Xue Two-Component Peakon Equation [PDF]

, 2013
We solve a spectral and an inverse spectral problem arising in the computation of peakon solutions to the two-component PDE derived by Geng and Xue as a generalization of the Novikov and Degasperis ...
Hans Lundmark, J. Szmigielski
semanticscholar   +1 more source

Effective inverse spectral problem for rational Lax matrices and applications

, 2007
We reconstruct a rational Lax matrix of size R+1 from its spectral curve (the desingularization of the characteristic polynomial) and some additional data.
Adams, Adams, Belokolos, Bertola, Bertola, Bertola, Bertola, Bertola, Bertola, Cherednik, Deift, Dubrovin, Dubrovin, Eynard, Fay, Grinevich, Haine, Jimbo, Korotkin, Krichever, Krichever, Krichever, Krichever, Krichever, Krichever, M. Bertola, M. Gekhtman, Mehta, Olshanetsky, Szegö, van Moerbeke   +30 more
core   +1 more source

Inverse spectral problems for certain differential operators [PDF]

Pacific Journal of Mathematics, 1984
Soit L o un operateur differentiel donne a matrice spectrale (ρ ij o ); soit une mesure matricielle positive (ρ ij ). On donne la technique pour construite L a partir de (ρ ij ) et (ρ ij o )
openaire   +3 more sources

Spectral theory and inverse problem on asymptotically hyperbolic orbifolds [PDF]

, 2013
We consider an inverse problem associated with $n$-dimensional asymptotically hyperbolic orbifolds $(n \geq 2)$ having a finite number of cusps and regular ends. By observing solutions of the Helmholtz equation at the cusp, we introduce a generalized $S$-
Isozaki, Hiroshi, Kurylev, Yaroslav, Lassas, Matti   +2 more
core   +1 more source

Inverse spectral problems for energy-dependent Sturm-Liouville equations

, 2012
We study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from their Dirichlet spectra and sequences of the norming constants.
Ablowitz M J, Adamjan V, Albeverio S, Albeverio S, Albeverio S, Engel K-J, Gasymov M G, Gasymov M G, Gel'fand I, Gohberg I, Gohberg I C, Gusei˘nov G S, Gusei˘nov I M, Hryniv R O, Hryniv R O, Jaulent M, Jaulent M, Jaulent M, Jonas P, Kamimura Y, Kappeler T, Kato T, Levitan B M, Maksudov F G, Maksudov F G, Markus A S, Nabiev A A, Nabiev A A, Nabiev I M, Nabiev I M, Nataliya Pronska, Pronska N, Pronska N, Pronska N, Riesz F, Rostyslav Hryniv, Sattinger D H, Savchuk A M, Savchuk A M, Savchuk A M, Savchuk A M, Serier F, Yamamoto M   +42 more
core   +1 more source

Inverse problems in spectral geometry

, 2011
In this survey we review positive inverse spectral and inverse resonant results for the following kinds of problems: Laplacians on bounded domains, Laplace-Beltrami operators on compact manifolds, Schr dinger operators, Laplacians on exterior domains, and Laplacians on manifolds which are hyperbolic near infinity.
Datchev, Kiril, Hezari, Hamid
openaire   +2 more sources