Truth Conditions of Nelkin’s and Corngold’s Hypotheses with Respect to Arbitrary Velocities of Neutrons'Generations and Adsorption

The spectrum of linear Boltzmann operator which describes processes of particles transport and their adsorption with generation in linearized Boltzmann equation is investigated in this paper. Together with corresponding initial and boundary conditions taken in Vladimirov’s form this investigation gives conditions of the Nelkin’s hypothesis truth and also gives a corret form of the Corngold’s hypothesis.