Abstract

The existence of solutions to the system of neutron transport equations in multi-group energy approximation is shown. Fast reactors are considered because the diffusion approximation theory can be applied for thermal reactors. The existence of an eigenvalue with a maximum modulus and positive eigenvectors of the homogeneous system of kinetic equations is proved. The immediate result of the existence of these eigenelements is the convergence of iteration processes of the source-iteration type. Data are presented on the critical parameters and their unambiguity. (OTS)

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