On the accuracy of a smooth mathematical model for electric circuits with diode current converters

The mathematical model of electric circuits with diode current converters is a system with diode nonlinearity represented as a system of ordinary differential equations with a discontinuous right-hand side that has a special form. In this work, we construct and study a similar system with continuous right-hand side and large parameter $K$; we prove a theorem that states that solutions of the corresponding initial problems of order $1/\sqrt K$ are close.

Presented by the member of Editorial Board: A. M. Krasnosel'skii