New way of solving the question of 'moving' peculiarities in scattering problems of three bodies at positive energies

For the scattering problem of three bodies at positive complete energies there were obtained integral equations whose nuclei don't have logarithmic singularities at contour of integration.The first equation of the obtained equation system determines the scattering amplitude in the region of yi>1 , i.e. physical amplitude (in the point yi=y0 ). The second equation binds function r(yi=exp(ζi)), specified at semicircle with its values on a real axis, i.e. (y-s), where -1≤y-s≤1. The third equation determines the feedback (dependence of this function taken on a real axis, through its values on a semicircle). Thus, instead of initial equation with singular kernel, there was obtained system of three equations but with kernels without singularities