Singular perturbations for a class of boundary value problems of higher order nonlinear differential equations

Abstract

In this paper, it has been studied that the singular perturbations for the higher order nonlinear boundary value problem of the form by the method of higher order differential inequalities and boundary layer correction. Under some mild conditions, the existence of the perturbed solution is proved and its uniformly efficient asymptotic expansions up to its n-th order derivative function are given out. Hence, the existing results are extended and improved.