Abstract
We study inverse spectral problems for Dirac-type functional-differential operators with two constant delays greater than two fifths the length of the interval, under Dirichlet boundary conditions. The inverse problem of recovering operators from four spectra has been studied. We consider cases when delays are greater or less than half the length of the interval. The main result of the paper refers to the proof that in both cases operators can be recovered uniquely from four spectra.
References
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Articles in the same Issue
- Frontmatter
- Stability properties for a class of inverse problems
- Inverse scattering problem for nonstrict hyperbolic system on the half-axis with a nonzero boundary condition
- Identification of the time-dependent source term in a Kuramoto–Sivashinsky equation
- Direct numerical algorithm for calculating the heat flux at an inaccessible boundary
- The game model with multi-task for image denoising and edge extraction
- On the X-ray transform of planar symmetric tensors
- Inverse vector problem of diffraction by inhomogeneous body with a piecewise smooth permittivity
- Acquiring elastic properties of thin composite structure from vibrational testing data
- Inverse nodal problem for diffusion operator on a star graph with nonhomogeneous edges
- Convergence analysis of Inexact Newton–Landweber iteration with frozen derivative in Banach spaces
- A projected gradient method for nonlinear inverse problems with 𝛼ℓ1 − 𝛽ℓ2 sparsity regularization
- Correctness and regularization of stochastic problems
- A layer potential approach to inverse problems in brain imaging
- Inverse problem for Dirac operators with two constant delays