Аннотация:Elastic K + d scattering at low and medium energies is considered on the basis of the Faddeev equations for various K + N potentials. The scattering lengths, phase shifts, and differential cross sections are calculated. The convergence of iterations of the Faddeev equations for the K + d amplitude, as well as the sensitivity of the results to the form of the K + N potential and to inclusion of the K + N interaction in the isosinglet state and in the p wave are investigated. The theoretical differential cross sections are in good agreement with experimental data.