An Inverse Sturm–Liouville Problem with Mixed Given Data
From MaRDI portal
Publication:3208990
DOI10.1137/0134054zbMath0418.34032OpenAlexW2052583646MaRDI QIDQ3208990
Harry Hochstadt, B. B. Lieberman
Publication date: 1978
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0134054
Related Items
Inverse spectral problem with partial information given on the potential and norming constants, Determination of Dirac operator with eigenparameter-dependent boundary conditions from interior spectral data, Twelve tales in mathematical physics: An expanded Heineman prize lecture, Inverse problems for discontinuous Sturm-Liouville operators with mixed spectral data, Inverse Problem for Interior Spectral Data of the Dirac Operator with Discontinuous Conditions, Half-inverse Sturm-Liouville problem with boundary and discontinuity conditions dependent on the spectral parameter, Hochstadt-Lieberman type theorems for a diffusion operator on a time scale, Inverse problems for a class of Sturm-Liouville operators with the mixed spectral data, Half inverse problems for the impulsive quadratic pencil with the discontinouty coefficient, On the Hochstadt–Lieberman theorem for the fourth-order binomial operator, On three spectra problem and Ambarzumian's theorem, Half inverse problem for diffusion operators with jump conditions dependent on the spectral parameter, Some open problems in complex and harmonic analysis: Report on problem session held during the conference Completeness problems, Carleson measures, and spaces of analytic functions, A half‐inverse problem for singular diffusion operator with certain boundary conditions, Direct and inverse resonance problems for the massless Dirac operator on the half line, On a local solvability and stability of the inverse transmission eigenvalue problem, Weak and strong stability of the inverse Sturm‐Liouville problem, Uniqueness of solution to inverse Dirac spectral problems associated with incomplete spectral data, On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions, On meromorphic inner functions in the upper half-plane, Inverse problems for Sturm–Liouville operators on a star-shaped graph with mixed spectral data, On Hochstadt–Lieberman theorem for impulsive Sturm–Liouville problems withboundary conditions polynomially dependent on the spectral parameter, Uniqueness theorems for the Dirac operator with eigenparameter boundary conditions and transmission conditions, On the half inverse spectral problem for an integro-differential operator, Unnamed Item, Inverse eigenvalue problems, Half inverse problem for singular differential operator, Reconstruction Techniques for Classical Inverse Sturm-Liouville Problems, Determination of differential pencils with spectral parameter dependent boundary conditions from interior spectral data, A new inverse nodal problem, Spectral problem for diffusion operator, Inverse problems for Sturm–Liouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter, Half inverse problem for operators with singular potential, Uniqueness theorems from partial information of the potential on a graph, A Half-Inverse Problem with Eigenparameter Dependent Boundary Conditions, Incomplete inverse spectral problems for Dirac-Bessel operators, An inverse problem for the heat equation, Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum, Inverse problems for Dirac equations polynomially depending on the spectral parameter, Half-inverse Sturm–Liouville problem on a time scale, On a regularization approach to the inverse transmission eigenvalue problem, Unique reconstruction of the potential for the interior transmission eigenvalue problem for spherically stratified media, Inverse spectral results for Schrödinger operators on the unit interval with partial information given on the potentials, A partial inverse problem for the Dirac system with an integral delay, Inverse problems for Jacobi operators with mixed spectral data, A practical method for recovering Sturm–Liouville problems from the Weyl function, Unnamed Item, Reconstruction for the spherically symmetric speed of sound from nodal data, Uniqueness results for one-dimensional Schrödinger operators with purely discrete spectra, Inverse Sturm–Liouville problems with the potential known on an interior subinterval, Inverse Nodal Problem for Polynomial Potentials, Determination of Dirac operator with eigenvalue-dependent boundary and jump conditions, On a boundary value method for computing Sturm–Liouville potentials from two spectra, Incomplete inverse spectral and nodal problems for Dirac operator, Asymptotic behavior of eigenvalues of hydrogen atom equation, Inverse nodal problems for the \(p\)-Laplacian with eigenparameter dependent energy functions, Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval, On the inverse nodal problems for discontinuous Sturm-Liouville operators, Uniqueness theorems for differential pencils with eigenparameter boundary conditions and transmission conditions, Borg-type theorems for generalized Jacobi matrices, Rational interpolation and mixed inverse spectral problem for finite CMV matrices, Non-self-adjoint Jacobi matrices with a rank-one imaginary part, A new approach to the inverse discrete transmission eigenvalue problem, Reconstruction of energy-dependent Sturm-Liouville equations from two spectra, Uniqueness results for inverse Sturm-Liouville problems with partial information given on the potential and spectral data, Uniqueness theorems for Sturm-Liouville operators with boundary conditions polynomially dependent on the eigenparameter from spectral data, Half-inverse problem for diffusion operators on the finite interval, Inverse problem for the interior spectral data of the equation of hydrogen atom, Inverse problems for a conformable fractional Sturm-Liouville operator, On the Hochstadt-Lieberman problem for the Dirac operator with discontinuity, Instability of the absolutely continuous spectrum of ordinary differential operators under local perturbations, A uniqueness theorem for indefinite Sturm-Liouville operators, On an inverse transmission problem from complex eigenvalues, \(m\)-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices, Restoration of a potential from noisy spectral data, On the stability of the inverse transmission eigenvalue problem from the data of McLaughlin and Polyakov, On the construction of a Jacobi matrix from mixed given data, On the Hald-Gesztesy-Simon theorem, Determination of a differential pencil from interior spectral data, Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues, Partial inverse problems for quadratic differential pencils on a graph with a loop, Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators, The partial inverse spectral problems for a differential operator, An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel, The inverse problem for differential pencils on a star-shaped graph with mixed spectral data, On the Hochstadt-Lieberman type problem with eigenparameter dependent boundary condition, Inverse spectral problems for Sturm--Liouville operators with singular potentials. III: Reconstruction by three spectra., Hochstadt-Lieberman theorem for Dirac operator with eigenparameter dependent boundary conditions, Some inverse scattering problems on star-shaped graphs, Inverse problem for a quadratic pencil of Sturm-Liouville operator, Uniqueness of the interior transmission problem with partial information on the potential and eigenvalues, Inverse problems: dense nodal subset on an interior subinterval, The uniqueness for inverse discrete transmission eigenvalue problems, The inverse problem for differential pencils with eigenparameter dependent boundary conditions from interior spectral data, An interior inverse Sturm-Liouville problem on a time scale, Partial inverse problems for Dirac operators on star graphs, On Borg-type theorems for first-order systems on a finite interval, Half-inverse problem for the Dirac operator, Modified Numerov's method for inverse Sturm-Liouville problems, On the Hochstadt-Lieberman theorem for discontinuous boundary-valued problems, On the inverse spectral theory of Schrödinger and Dirac operators, Solutions to open problems of Yang concerning inverse nodal problems, Inverse problems for Sturm-Liouville equations with boundary conditions linearly dependent on the spectral parameter from partial information, Inverse nodal and inverse spectral problems for discontinuous boundary value problems, A partial inverse problem for the Sturm-Liouville operator on the lasso-graph, Inverse problem for interior spectral data of discontinuous Dirac operator, Inverse scattering on the line with a transfer condition, A partial inverse problem for the Sturm-Liouville operator on a star-shaped graph, Ambarzumyan's theorem for the quasi-periodic boundary conditions, A partial inverse problem for the differential pencil on a star-shaped graph, On the missing eigenvalue problem for Dirac operators, Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions, Inverse resonance problems for the Schrödinger operator on the real line with mixed given data, The inverse spectral problem for a Stieltjes eight-shaped string, On the uniqueness of inverse spectral problems associated with incomplete spectral data, Inverse problems for Dirac operator with the potential known on an interior subinterval, Incomplete inverse spectral and nodal problems for differential pencils, The inverse interior transmission eigenvalue problem with mixed spectral data, Inverse problem for the differential pencil on an arbitrary graph with partial information given on the coefficients, Perturbations of orthogonal polynomials with periodic recursion coefficients, Inverse spectral problems for the Sturm-Liouville operator on a \(d\)-star graph, A half-inverse problem for impulsive Dirac operator with discontinuous coefficient, Boundary value methods for the reconstruction of Sturm-Liouville potentials, An inverse problem by eigenvalues of four spectra, A uniqueness theorem from partial transmission eigenvalues and potential on a subdomain, Ambarzumyan theorems for Dirac operators, Finite difference methods for half inverse Sturm-Liouville problems, Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with different edge lengths, On the partial inverse problems for the transmission eigenvalue problem of the Schrödinger operator, Inverse spectral problems for non-self-adjoint Sturm-Liouville operators with discontinuous boundary conditions, Higher order Nevanlinna functions and the inverse three spectra problem, Determination of partially known Sturm-Liouville potentials, Reconstruction and solvability for discontinuous Hochstadt-Lieberman problems, Mixed data in inverse spectral problems for the Schrödinger operators, An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition, An inverse problem for the Sturm-Liouville operator, Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity, Horváth-type theorems on a star graph with mixed boundary conditions, Inverse Sturm-Liouville problem with analytical functions in the boundary condition, Changes in a finite part of the spectrum of the Laplace operator under delta-like perturbations, On the missing eigenvalue problem for an inverse Sturm-Liouville problem, Recovering differential pencils with spectral boundary conditions and spectral jump conditions, An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions, Essentially isospectral transformations and their applications, Remarks on a new inverse nodal problem, An inverse Sturm-Liouville problem by three spectra, The inverse spectral problem for differential pencils by mixed spectral data, Inverse problem for interior spectral data of the Dirac operator on a finite interval, On the determination of a tridiagonal matrix from its spectrum and a submatrix, Inverse spectral problems for Sturm-Liouville operators with partial information, Inverse spectral problems for radial Schrödinger operators and closed systems, The uniqueness of inverse problem for the Dirac operators with partial information, On the inverse Sturm-Liouville problem for spatially symmetric operators. I