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Volterra, V. (1959) Theory of Functionals and of Integral and In-tegrodifferential Equations. Dover Publications, Inc., New York.

has been cited by the following article:

• TITLE: Nuclear Electromagnetic Generator: Introduction in Neutron Algebra and Elements of Neutron Kinetics

  AUTHORS: V. Yu. Tertychny-Dauri

  KEYWORDS: Neutron Kinetics, Kinetics of Neutron Multiplication by the Nuclear Fission, Diffusion of Neutrons

  JOURNAL NAME: Open Access Library Journal, Vol.5 No.6, June 26, 2018

  ABSTRACT: In the work, the problem of neutron kinetics in general view taking into account the all groups of delayed neutrons is solved. Conception of the matrix of complete neutron kinetics is introduced and are determined its properties. In the task about a finding of overt form for the solution of kinetic equations, the separation method and the reducing method of integrodifferential task to integral task with the aid of matched theorem are used. Diffusion of neutrons in the toroidal nuclear electric generator (nuclegen) is investigated also. Important conclusion about the practically complete absence of the diffusion of neutrons and charged fission particles (ionites) through the external boundary under toroidal motion is substantiated when solving of corresponding diffusion equation with the aid of Fourier’s standard separation method.