PageHeader : Funkcialaj Ekvacioj, 8 (1966), 45-78 Title : Asymptotic Equivalences between Systems Title : of Differential Equations and Title : their Perturbed Systems* AuthorInfo : By Junji KATO AuthorInfo : (Nihon University**) section : 1. Introduction. section : 2. Notaticns and definitions. section : 3. Asymptotic equivalence. subsection : 4. The asymptotic equivalence of systems on a product space. subsection : 5. Asymptotic equivalence near a stable integral manifold. section : References.