The exponential characteristic of a system of linear differential equations with periodic coefficients. Application to the prediction of the dynamics of social tension

Abstract. The dependence between the least severe restrictions exponential estimate input effects and the solution of the Cauchy problem for a system of first-order ODE, having exponential growth. These studies are based on Lyapunov exponents, Banach theorem on the closed operator and carried out with the help of the Cauchy function. Built exponential characteristic of the system of differential equations. We consider the differential predictive model of the field of social tension in the presence of migrants / refugees. The statistical calculations used data from the survey of students between the two universities in Moscow