ABOUT JUMPING IN A CHEMICAL REACTION

Abstract

The article considers the Cauchy problem for an ordinary nonlinear differential equation of the first order. An additional feature of the Cauchy problem under consideration is that this equation contains a small parameter. It is required to establish the asymptotics of the solution of the Cauchy problem as this small parameter tends to zero. The investigated Cauchy problem is a mathematical model of a chemical reaction. The solution of the Cauchy problem has a singular point at which the solution quickly passes from one state to another. However, the solution is continuous in the considered interval. Previously, an asymptotic solution was constructed in the first zone, now we will construct an asymptotic solution in the second zone.