Flows equivalences
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1
Universidad Politécnica de Cartagena
info
ISSN: 1576-9402, 1989-4147
Argitalpen urtea: 2001
Alea: 2
Zenbakia: 1
Orrialdeak: 113-118
Mota: Artikulua
Beste argitalpen batzuk: Applied general topology
Laburpena
Given a differential equation on an open set O of an n-manifold we can associate to it a pseudo-flow, that is, a flow whose trajectories may not be defined in the entire real line. In this paper we prove that this pseudo-flow is always equivalent to a flow with its trajectories defined in all R. This result extends a similar result of Vinograd stated in the n-dimensional Euclidean space.