Flows equivalences
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1
Universidad Politécnica de Cartagena
info
ISSN: 1576-9402, 1989-4147
Année de publication: 2001
Volumen: 2
Número: 1
Pages: 113-118
Type: Article
D'autres publications dans: Applied general topology
Résumé
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.