2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/225305In an earlier paper, we proved that, under certain hypotheses, the moduli space of an asymptotically cylindrical special Lagrangian submanifold with fixed boundary of an asymptotically cylindrical Calabi-Yau 3-fold is a smooth manifold. Here we prove the analogous result for an asymptotically cylindrical special Lagrangian submanifold with moving boundary.14 pages, LaTexDifferential GeometryGeometric Topology53C38, 53C15, 53C21,58J05text