2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161619Convergence 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.10 pagesOptimization and ControlFunctional Analysis34A09, 34A30text