Propagation of excitation in a model of neural system

The study of the characteristic statistical properties of neural systems, which was started in a previous paper, is continued here. The initial value problem for the kinetic equations describing the systems is solved in the one-dimensional case under particular conditions. To handle this problem use is made of certain techniques previously introduced by Landau and later improved by Backus and Turski in the context of the study of oscillations in a linearized plasma. The result is used for the discussion of a very simple neural system.