  We consider a formulation of initial problem for Kolmogorov equation that
corresponds a localized source of particles to be scattered by medium with
given scattering amplitude density (scattering indicatrix). The multiple
scattering expansion and amplitudes are introduced and the corresponding series
solution of the equation is constructed. We investigate the multiple integral
representation for the series terms, transform it into a form, convenient for
estimations and prove convergence of the series. An application to light beam
scattering and LIDAR problem solution is outlined.
