Abstract
A second order nonlinear differential equation is considered. An algorithm for reconstructing an input from inaccurate measurements of the solution at discrete times is designed. The algorithm based on the constructions of feedback control theory and theory of ill-posed problems is stable with respect to informational noises and computational errors.
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Articles in the same Issue
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Articles in the same Issue
- Frontmatter
- Conditional stability for an inverse coefficient problem of a weakly coupled time-fractional diffusion system with half order by Carleman estimate
- A perturbation analysis based on group sparse representation with orthogonal matching pursuit
- Inverse spectral problem of an anharmonic oscillator on a half-axis with the Neumann boundary condition
- Space-time finite element method for determination of a source in parabolic equations from boundary observations
- On dynamical input reconstruction in a distributed second order equation
- Alternating minimization methods for strongly convex optimization
- Inverse scattering transform in two spatial dimensions for the N-wave interaction problem with a dispersive term
- Reconstruction algorithm of 3D surface in scanning electron microscopy with backscattered electron detector
- Inverse problem of Mueller polarimetry for metrological applications
- Features of solving the direct and inverse scattering problems for two sets of monopole scatterers