Relativistic bound $s$-states problem for superposition of two potentials «$\delta$-sphere» type

The exact solutions of relativistic two-particle quasipotential type equations for bound states in the case of the potential «$\delta$-sphere» in the relativistic configuration representation and in the case of the superposition of two such potentials are considered. The signs of the coefficients in the $\delta$-potentials that allow the existence of bound states and the maximum possible number of this states are defined on the basis of the analysis of the energy quantization conditions.