Модификация метода Эйлера с уравниванием для решения дифференциальных уравнений с переменным запаздыванием

The problem of numerical solving of ordinary nonlinear differential equations with variable delay, including casual delay, is considered. The interpolation modification of the Euler's computing scheme with equalization is received. This scheme modification is suitable to decision of the differential equations with free, including accidentally changing and as please small delays, when the known method of steps becomes the inapplicable. It is shown that the second order of accuracy of this modification as for iterative structure of the Euler's method with equalization, so and for its first approximation is saved.