2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213224A generalization of the Flow-box Theorem is given. The assumption of continuous differentiability of the vector field is relaxed to a local Lipschitz condition. The theorem holds in any Banach space.9 pages; replacement with explanatory figure and proof outlineDynamical SystemsDifferential GeometryFunctional Analysis37C10, 46T20Lipschitz Flow-box Theoremtext