%0 Journal Article
%T Convergence in the Boundary Layer for Nonhomogeneous Linear Singularly Perturbed Systems
%A Zhibin Yan
%J Mathematics
%D 2008
%I arXiv
%X Convergence of the solutions of nonhomogeneous linear singularly perturbed systems to that of the corresponding reduced singular system on the half-line [0, $\infty $) is considered. To include the situation on a neighborhood of initial instant, a boundary layer, a distributional approach to convergence is adopted. An explicit analytical expression for the limit as a distribution is proved.
%U http://arxiv.org/abs/0805.3811v1