On the solvability of the boundary value problem for the radiation transfer equation with the Compton scattering effect

The work is devoted to the study of the solubility of the boundary problem for the radiation transfer equation with the Compton scattering effect. The boundary value problem is reduced to the equivalent integral equation of Volterra type. The result of the work is the existence and uniqueness theorem of the solution for the boundary value problem of the radiative transfer equation.