The inverse spectral problem for pencils of differential operators

DOI10.1070/SM2007v198n11ABEH003897zbMath1152.34005OpenAlexW2045606708MaRDI QIDQ5387144

No author found.

Publication date: 7 May 2008

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2007v198n11abeh003897

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Inverse problems involving ordinary differential equations (34A55)

Related Items (34)

Reconstruction of the differential operator with spectral parameter in the boundary condition ⋮ An algorithm for reconstructing the Dirac operator with a spectral parameter in the boundary condition ⋮ Inverse problem for quasi-periodic differential pencils with jump conditions inside the interval ⋮ An inverse problem for Sturm-Liouville operators with non-separated boundary conditions containing the spectral parameter ⋮ Reconstruction of energy-dependent Sturm-Liouville equations from two spectra ⋮ Solution algorithm of the inverse spectral problem for Dirac operator with a spectral parameter in the boundary condition ⋮ Reconstruction of energy-dependent Sturm-Liouville equations from two spectra. II ⋮ Degenerate boundary conditions for the diffusion operator on a geometric graph ⋮ Boundary Inverse Problem for Star-Shaped Graph with Different Densities Strings-Edges ⋮ Reconstruction of the Sturm-Liouville operator with nonseparated boundary conditions and a spectral parameter in the boundary condition ⋮ Inverse spectral problems for differential operators with non-separated boundary conditions ⋮ Solving the inverse problems for discontinuous periodic Sturm-Liouville operator by the method of rotation ⋮ On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions ⋮ ALGORITHMS FOR RECOVERY OF DIFFUSION AND STURM–LIOUVILLE OPERATORS WITH SEMI-SEPARATED BOUNDARY CONDITIONS ⋮ RESTORATION OF POLYNOMIAL COEFFICIENT IN THE DIFFERENTIAL EQUATION OF THE THIRD ORDER ⋮ Inverse problem for a quadratic pencil of Sturm-Liouville operator ⋮ Degenerate boundary conditions for the diffusion operator ⋮ Solution of the inverse quasiperiodic problem for the Dirac system ⋮ On Determination of Functional-Differential Pencils on Closed Sets from the Weyl-Type Function ⋮ Reconstruction of the diffusion equation with singular coefficients for two spectra ⋮ On the isospectrality of the scalar energy-dependent Schrödingerproblems ⋮ Solvability theorems for an inverse nonself-adjoint Sturm-Liouville problem with nonseparated boundary conditions ⋮ Unnamed Item ⋮ On the quasinodal map for the diffusion operator ⋮ Inverse problems for non-selfadjoint quasi-periodic differential pencils ⋮ A generalization of Borg's uniqueness theorems for a symmetric potential to general boundary conditions ⋮ Inverse Sturm-Liouville problem with nonseparated boundary conditions on a geometric graph ⋮ Trace formulae for differential pencils with spectral parameter dependent boundary conditions ⋮ On degenerate boundary conditions and finiteness of the spectrum of boundary value problems ⋮ New trace formulae for a quadratic pencil of the Schrödinger operator ⋮ Identification of nonseparated boundary conditions ⋮ Unnamed Item ⋮ Recovering nonselfadjoint differential pencils with nonseparated boundary conditions ⋮ A generalization of Levinson's uniqueness theorem to the case of general boundary conditions

This page was built for publication: The inverse spectral problem for pencils of differential operators