Some Problems of Meson Spectroscopy. Possible Solutions at DAFNE

The e^+e^- collider with luminosity of the order of 10^32 - 10^33 cm^-2s-1 in the energy range √s = 1-2 GeV is a very good facility to study hadron physics. We discuss here some problems of meson specroscopy, namely the problem of radial and orbital vector meson excitations and their electromagnetic widths, the two particle decays of vector mesons and the level structure of P-wave meson multiplets. In the first two cases one can study the vector mesons produced in s-channel. In the last case the study of radiative decays of ρ(1700) meson into P-wave states gives a possibility to discriminate between different candidates for P-wave multiplet members.