An inverse Sturm-Liouville problem by three spectra
From MaRDI portal
Publication:1300160
DOI10.1007/BF01236474zbMath0948.34014MaRDI QIDQ1300160
Publication date: 19 July 2000
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (27)
Recovering Dirac operator with nonlocal boundary conditions ⋮ On the determination of differential pencils with nonlocal conditions ⋮ An inverse Sturm-Liouville problem from parts of three spectra ⋮ An inverse three spectra problem for Sturm-Liouville operators ⋮ Functional equations related to sine type functions ⋮ On the Hochstadt–Lieberman theorem for the fourth-order binomial operator ⋮ On three spectra problem and Ambarzumian's theorem ⋮ An inverse three spectra problem for parameter-dependent and jumps conformable Sturm-Liouville operators ⋮ Inverse spectral problems for Sturm--Liouville operators with singular potentials. III: Reconstruction by three spectra. ⋮ Dirichlet-Neumann inverse spectral problem for a star graph of Stieltjes strings ⋮ An inverse spectral problem for the Sturm-Liouville operator on a three-star graph ⋮ Eigenvectors from eigenvalues: the case of one-dimensional Schrödinger operators ⋮ Inverse scattering for reflectionless Schrödinger operators with integrable potentials and generalized soliton solutions for the KdV equation ⋮ Reconstruction of the potential of the Sturm-Liouville equation from three spectra of boundary value problems ⋮ Recovering differential operators with nonlocal boundary conditions ⋮ Inverse eigenvalue problems for singular rank one perturbations of a Sturm-Liouville operator ⋮ The inverse spectral problem for a Stieltjes eight-shaped string ⋮ Inverse indefinite Sturm-Liouville problems with three spectra ⋮ Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications ⋮ An inverse problem by eigenvalues of four spectra ⋮ Leaf peeling method for the wave equation on metric tree graphs ⋮ Higher order Nevanlinna functions and the inverse three spectra problem ⋮ Uniqueness of solutions to inverse Sturm-Liouville problems with \(L^2(0,a)\) potential using three spectra ⋮ Three-spectra inverse problems for Sturm-Liouville problems with transmission conditions ⋮ On solvability of three spectra problem ⋮ Sampling the miss-distance and transmission function ⋮ A generalization of three spectra theorem for inverse Sturm-Liouville problems
Cites Work
- Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
- An Inverse Sturm–Liouville Problem with Mixed Given Data
- Discontinuous inverse eigenvalue problems
- Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: An inverse Sturm-Liouville problem by three spectra