Inverse nodal problem for Dirac equations with boundary conditions polynomially dependent on the spectral parameter

DOI10.1007/s00025-014-0396-0zbMath1319.34028OpenAlexW2060385610MaRDI QIDQ2258326

Guangsheng Wei, Yongxia Guo

Publication date: 3 March 2015

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

Full work available at URL: https://doi.org/10.1007/s00025-014-0396-0

zbMATH Keywords

uniqueness theoremDirac operatorinverse nodal problemnodal pointsboundary conditions polynomially dependent on the spectral parameter

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) General spectral theory of ordinary differential operators (34L05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55)

Related Items (12)

On the Lipschitz stability of inverse nodal problem for Dirac system ⋮ An inverse eigenvalue problem for one dimensional Dirac operators ⋮ Inverse nodal problems for Dirac-type integro-differential operators ⋮ Inverse Nodal Problems for Dirac-Type Integro-Differential Operators with Linear Functions in the Boundary Condition ⋮ Inverse nodal problems for Dirac type integro differential system with a nonlocal boundary condition ⋮ Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions ⋮ Unnamed Item ⋮ Inverse nodal problem forp-laplacian dirac system ⋮ Reconstruction of the Dirac-Type Integro-Differential Operator From Nodal Data ⋮ Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph ⋮ Inverse problems for one dimensional conformable fractional Dirac type integro differential system ⋮ Inverse spectral problem for Dirac operators by spectral data

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse nodal problem for Dirac system with spectral parameter in boundary conditions
• On sampling and Dirac systems with eigenparameter in the boundary conditions
• Incomplete inverse spectral and nodal problems for differential pencils
• Inverse nodal and inverse spectral problems for discontinuous boundary value problems
• Recovering the Sturm-Liouville operator with singular potential using nodal data
• Reconstruction of the Dirac operator from nodal data
• Inverse nodal problem for differential pencils
• Inverse spectral theory using nodal points as data - A uniqueness result
• A boundary value problem for the Dirac system with a spectral parameter in the boundary conditions
• Inverse problems: dense nodal subset on an interior subinterval
• Regular eigenvalue problems with eigenvalue parameter in the boundary condition
• An inverse nodal problem for integro-differential operators
• Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
• A uniqueness theorem for the boundary value problems with non-linear dependence on the spectral parameter in the boundary conditions
• Inverse problems for Sturm–Liouville equations with boundary conditions polynomially dependent on the spectral parameter
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
• Solution of inverse nodal problems
• Adjointness properties for differential systems with eigenvalue-dependent boundary conditions, with application to flow-duct acoustics
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• $L^1$ convergence of the reconstruction formula for the potential function
• A new inverse nodal problem

This page was built for publication: Inverse nodal problem for Dirac equations with boundary conditions polynomially dependent on the spectral parameter