Exact solutions of the quasipotential equations for some analogs of the confining potentials

In the framework of the quasipotential approach relativistic generalizations are considered for widely used in the meson spectroscopy phenomenological confining potentials. Exact relativistic wave functions and conditions of energy level quantization are found in the monentum representation for singular at p vector = k vector quasipotentials of the following type V approximately d2/dk2 vector x delta (p vector - k vector)-4, V approximately (p vector - k vector)-4. The energy spectrum of the quasipotential equation for spin particles is compared with the experimental mass spectrum for phisub(-), Y- and rho-mesons