Genady Zavizion
Kirovograd Pedagogical University
8/57 Vasnetsova str., Kirovograd, Ukraine
E-mail: zavizion@kspu.kr.ua

The asymptotic solutions of the systems of nonlinear differential equations

With the method of linearization nonlinear singular perturbation system of differential equations the Cauchy problem is solved. Solving this problem we study simple roots of the characteristical equation and a divisible root to which divisible elementary divisor corresponds. Also the method of asymptotic integration of nonlinear systems of differential equations with the point singularities is discussed.