ASYMPTOTIC SOLUTIONS OF A TWO-POINT EDGE-BASED PROBLEM FOR A LINEAR SINGULARLY DISTURBED SYSTEM OF DIFFERENTIAL EQUATIONS IN NONCRITICAL AND CRITICAL STABLE CASES

Using asymptotic methods in the theory of differential equations and their systems, an asymptotic solution of the boundary value problem for a linear singularly perturbed system of differential equations is constructed. Considered non-critical and critical resistant cases. For each of the cases, the corresponding asymptotic estimates were found.