Abstract
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 $$1/\sqrt K $$1/K are close.
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