MULTIPLE LAYER BEHAVIOR OF BOUNDARY VALUE PROBLEM FOR SINGULARLY PERTURBED n-TH ORDER NONLINEAR DIFFERENTIAL EQUATION

摘要

In this paper, we study the singular perturbation of boundary value problem for a class of n-th order nonlinear differential equation, the solution is shown to exhibit multiple layer behavior. According to different layers and by introducing extended variable, we obtain the uniformly effective asymptotic expansion with different boundary layer correction term.