Integral equations for three particles in the boundary condition model

The Faddeev equations in a model with the two-particle boundary conditions are reformulated in order to remove the characteristic singularities of the model. The equations are reduced to a set of one-dimensional integral equations the kernel of which is defined by another independent set of one-dimensional integral equations. The equations obtained for three-particle system with the pair interaction in a finite number of partial states determines the three-particle wave function uniquely.