On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions

DOI10.1002/mma.8819arXiv2111.05831OpenAlexW3213075353MaRDI QIDQ6180767

No author found.

Publication date: 2 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.05831

zbMATH Keywords

uniqueness theoreminverse spectral problemssingular coefficientsdifferential pencilsanalytical dependence on the spectral parameterpartial inverse problems

Mathematics Subject Classification ID

Inverse problems involving ordinary differential equations (34A55) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (1)

Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A partial inverse problem for the differential pencil on a star-shaped graph
• Inverse problems for non-selfadjoint quasi-periodic differential pencils
• Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra
• Gewöhnliche lineare Differentialgleichungen zweiter Ordnung mit Distributionskoeffizient
• On the uniqueness of a spherically symmetric speed of sound from transmission eigenvalues
• Sturm-Liouville operators with singular potentials
• Half inverse problems for quadratic pencils of Sturm-Liouville operators
• Inverse problem for the differential pencil on an arbitrary graph with partial information given on the coefficients
• Inverse Sturm-Liouville problem with analytical functions in the boundary condition
• On the uniform stability of recovering sine-type functions with asymptotically separated zeros
• Partial inverse problems for quadratic differential pencils on a graph with a loop
• The inverse problem for differential pencils on a star-shaped graph with mixed spectral data
• Inverse spectral problems for differential operators with non-separated boundary conditions
• Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm-Liouville equations
• On Borg's method for non-selfadjoint Sturm-Liouville operators
• An inverse problem for the Sturm-Liouville pencil with arbitrary entire functions in the boundary condition
• The inverse spectral problem for differential pencils by mixed spectral data
• Reconstruction of energy-dependent Sturm-Liouville equations from two spectra
• Recovering differential pencils on compact graphs
• Uniqueness theorems for differential pencils with eigenparameter boundary conditions and transmission conditions
• Inverse eigenvalue problem for a vibration of a string with viscous drag
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• An inverse problem for differential operator pencils
• The uniqueness in the inverse problem for transmission eigenvalues for the spherically symmetric variable-speed wave equation
• On half inverse problem for differential pencils with the spectral parameter in boundary conditions
• Inverse spectral problems for energy-dependent Sturm–Liouville equations
• An Inverse Sturm–Liouville Problem with Mixed Given Data
• On the use of transmission eigenvalues to estimate the index of refraction from far field data
• Inverse spectral problems for Sturm Liouville operators with singular potentials
• On a local solvability and stability of the inverse transmission eigenvalue problem
• On the isospectrality of the scalar energy-dependent Schrödingerproblems
• On a regularization approach to the inverse transmission eigenvalue problem
• A partial inverse Sturm‐Liouville problem on an arbitrary graph
• Direct and Inverse Sturm-Liouville Problems
• Boundary Inverse Problem for Star-Shaped Graph with Different Densities Strings-Edges
• Inverse scattering on the half-line for energy-dependent Schrödinger equations
• Solvability and stability of the inverse Sturm–Liouville problem with analytical functions in the boundary condition
• Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter
• Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
• Recovering nonselfadjoint differential pencils with nonseparated boundary conditions
• The inverse spectral problem for pencils of differential operators
• Determination of differential pencils with spectral parameter dependent boundary conditions from interior spectral data
• Inverse problems for second-order differential pencils with Dirichlet boundary conditions

This page was built for publication: On recovering quadratic pencils with singular coefficients and entire functions in the boundary conditions