Bounds and stability of solutions of the system of Differential equations.

Abstract

In work is defined a class of linear systems of differential equations with final exponents of the first and second orders which are wider, than a class of quite regular linear systems of differential equations. By the method of the first approach was established a sufficient condition of asymptotic stability of the trivial solution of nonlinear system of differential equations in case of Lyapunov’s not positive characteristic exponents.