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Recovery of the rod cross section shape
Vladislav V. Kravchenko, Sergii M. Torba, Alexander O. Vatulyan
A direct method for solving the inverse problem of determining the shape of the cross section of a rod is proposed. The method is based on Neumann series of Bessel functions repres…
Realization of the inverse scattering transform method for the Korteweg-de Vries equation
Sergei M. Grudsky, Vladislav V. Kravchenko, Sergii M. Torba
A method for practical realization of the inverse scattering transform method for the Korteweg-de Vries equation is proposed. It is based on analytical representations for Jost sol…
A direct method for solving inverse Sturm-Liouville problems
Vladislav V. Kravchenko, Sergii M. Torba
We consider two main inverse Sturm-Liouville problems: the problem of recovery of the potential and the boundary conditions from two spectra or from a spectral density function. A…