On the Construction of Asymptotics of the Solution of Multipoint Boundary-Value Problem for a Linear Degenerate Singularly Perturbed System of Differential Equations

Abstract

We study the possibility of construction of the asymptotic solution of multipoint boundary-value problem for a linear singularly perturbed system of differential equations with identically degenerate matrix of derivatives in the case of multiple spectrum of the main operator. To this end, we use the results of asymptotic analysis for the general solution of a linear degenerate singularly perturbed system of differential equations. We establish the existence and uniqueness conditions for the solution of the analyzed boundary-value problem.