Exact solutions of a class of quasipotential equations for a superposition of one-boson exchange quasipotentials

A large class of quasipotential equations that describe two-particle bound states is studied in the case of an interaction taken in the form of a superposition of one-boson exchange quasipotentials. By a Legendre transformation, the equations are reduced to the form of differential equations with deviating arguments. Solutions of these equations are found in the class of generalized functions. Quantization conditions and wave functions are obtained in the relativistic configuration and momentum representations.