Asymptotics of the solution to a two-point boundary value problem for a linear singularly perturbed system of differential equations in the case of a singular limit bundle of matrices (one-dimensional non-critical stable case). Part 2

Abstract

Using asymptotic methods in the theory of differential equations and the properties of linear singularly perturbed matrix pencils, the problem of constructing an asymptotic solution to a two-point boundary value problem for a linear singularly perturbed system of first-order differential equations is investigated for the case of a singular limit matrix pencil that does not contain a regular kernel.