2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217797We show that the main theorem of Morales--Ramis--Simo about Galoisian obstructions to meromorphic integrability of Hamiltonian systems can be naturally extended to the non-Hamiltonian case. Namely, if a dynamical system is meromorphically integrable in the non-Hamiltonian sense, then the differential Galois groups of the variational equations (of any order) along its solutions must be virtually Abelian5 pagesDynamical SystemsGaloisian obstructions to non-Hamiltonian integrabilitytext