Flows equivalences

  1. Soler López, Gabriel 1
  1. 1 Universidad Politécnica de Cartagena
    info

    Universidad Politécnica de Cartagena

    Cartagena, España

    ROR https://ror.org/02k5kx966

Revista:
Applied general topology

ISSN: 1576-9402,  1989-4147

Any de publicació: 2001

Volum: 2

Número: 1

Pàgines: 113-118

Tipus: Article

DOI: 10.4995/AGT.2001.3019 DIALNET GOOGLE SCHOLAR lock_openAccés obert editor

Altres publicacions en: Applied general topology

Resum

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.

Fuente de los datos: Dialnet