3 papers
math.CA2026
Recovery of the matrix potential of the one-dimensional Dirac equation from spectral data
Emmanuel Roque, Sergii M. Torba
A method for solving an inverse spectral problem for the one-dimensional Dirac equation is developed. The method is based on the Gelfand-Levitan equation and the Fourier-Legendre s…
math.NA2025
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…
math.CA2025
Representation of solutions of the one-dimensional Dirac equation in terms of Neumann series of Bessel functions
Emmanuel Roque, Sergii M. Torba
A representation of solutions of the one-dimensional Dirac equation is obtained. The solutions are represented as Neumann series of Bessel functions. The representations are shown…