ASYMPTOTIC SOLUTION FOR SINGULARLY PERTURBED NONLINEAR SYSTEM

Consider the following vector boundary value problem with boundary perturbation where μ(>0) and ε are real small parameters, x, f, b and y, g, a are respectively r-dimensional and m-dimensional vector functions and a, b(i=1, 2)are matrices of appropriate orders. We assume that a(0, 0), b(0, 0)are nonsingular and ψ(ε), ψ(ε) are