Flows equivalences

• Soler López, Gabriel ^[1]
  1. [1] Universidad Politécnica de Cartagena

     Universidad Politécnica de Cartagena

     Cartagena, España

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 2, Nº. 1, 2001, págs. 113-118
• Idioma: inglés
• DOI: 10.4995/agt.2001.3019
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• Resumen

  • 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.