ON ABOUNDARY VALUE PROBLEM FOR A SINGULARLY PERTURBED ELLIPTIC EQUATION IN AN INFINITE LAYER

Abstract

We consider a boundary value problem in an infinite layer for a higher order singularly perturbed elliptic equation degenerated into a first order equation. The asymptotics of the solution of the problem under consideration is constructed to within any positive degree of a small parameter allowing for arising boundary layer functions on lower and upper base of the infinite layer, and the remainder term
is estimated.