SOME FEATURES OF THE SOLUTION OF A NONLINEAR SINGULARLY PERTURBED PROBLEM

Abstract

The paper shows that the solution of the singularly perturbed problem tends in the real region to the solutions of the corresponding unperturbed problem.Estimation in the real region is performed due to the nonlinerity of the considered problem. Depending on the natura of the function that determines the stability conditions, the considered areas of singularly perturbed differential equations cnange. Here will the areas expressing the tightening of the buckling and the twosided stability. And also depending on the choice of the starting point, a stable region is excluded. As a result, we do not get a stable area.