Results 21 to 30 of about 8,236 (196)

Local solvability and stability of the inverse problem for the non-self-adjoint Sturm–Liouville operator

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
doaj   +1 more source

Direct and inverse spectral problems for discrete Sturm-Liouville problem with generalized function potential [PDF]

, 2016
In this work, we study the inverse problem for difference equations which are constructed by the Sturm-Liouville equations with generalized function potential from the generalized spectral function (GSF).
Abdullah Kablan, Bayram Bala, Manaf Dzh Manafov   +2 more
core   +1 more source

Inverse Problems for the Quadratic Pencil of the Sturm-Liouville Equations with Impulse

Abstract and Applied Analysis, 2013
In this study some inverse problems for a boundary value problem generated with a quadratic pencil of Sturm-Liouville equations with impulse on a finite interval are considered.
Rauf Kh. Amırov, A. Adiloglu Nabıev
doaj   +1 more source

Sturm-Liouville difference equations having Bessel and hydrogen atom potential type

Open Physics, 2018
In this work, we bring a different approach for Sturm-Liouville problems having Bessel and hydrogen atom type and we provide a basis for direct and inverse problems.
Bas Erdal, Ozarslan Ramazan, Baleanu Dumitru   +2 more
doaj   +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

On the inverse scattering problem for Jacobi matrices with the spectrum on an interval, a finite system of intervals or a Cantor set of positive length

, 2001
Solving inverse scattering problem for a discrete Sturm-Liouville operator with the fast decreasing potential one gets reflection coefficients $s_\pm$ and invertible operators $I+H_{s_\pm}$, where $ H_{s_\pm}$ is the Hankel operator related to the symbol
Volberg, A., Yuditskii, P.
core   +2 more sources

Inverse Sturm–Liouville problems with finite spectrum

Journal of Mathematical Analysis and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kong, Qingkai, Zettl, Anton
openaire   +2 more sources

Reconstruction techniques for classical inverse Sturm-Liouville problems [PDF]

Mathematics of Computation, 1992
This paper gives constructive algorithms for the classical inverse Sturm-Liouville problem. It is shown that many of the formulations of this problem are equivalent to solving an overdetermined boundary value problem for a certain hyperbolic operator. Two methods of solving this latter problem are then provided, and numerical examples are presented.
Rundell, William, Sacks, Paul E.
openaire   +1 more source

An inverse three spectra problem for Sturm–Liouville operators

Boundary Value Problems, 2018
In this paper, we consider the inverse three spectra problems of recovering the Sturm–Liouville equation by the spectra of the Neumann–Dirichlet boundary value problem on [0,1] $[0,1]$, the Neumann–Robin problem on [0,1/2] $[0,1/2]$, and the Robin ...
Yongxia Guo, Guangsheng Wei, Ruoxia Yao
doaj   +1 more source

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

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