2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73402We prove in this article the well posedness of non - linear Ordinary Differential Equations (ODE) of first and second order in Orlicz spaces with unbounded domain of definition.15 pagesDynamical Systems34C11; 34B40; 47E05Correct Solvability of Nonlinear Ordinary Differential Equations in Orlicz Spacestext