Problems leading to perturbations

The paper studies solutions of homogeneous singularly perturbed differential equations with initial conditions. Here the stability conditions are satisfied. As a starting point, we take the points of stability change. The neighborhood of this point will appear a boundary layer, which we study using the regularization method. The peculiarity and novelty of the work lies in the fact that here the regularization method is applied to the study of solutions of a singularly perturbed problem.