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

Journal:
Applied general topology

ISSN: 1576-9402,  1989-4147

Year of publication: 2001

Volume: 2

Issue: 1

Pages: 113-118

Type: Article

DOI: 10.4995/AGT.2001.3019 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Applied general topology

Abstract

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.

Data source: Dialnet