Open AccessFlows equivalences
Author(s) -
Gabriel Soler López
Publication year - 2001
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2001.3019
Subject(s) - mathematics , flow (mathematics) , euclidean space , pure mathematics , space (punctuation) , manifold (fluid mechanics) , set (abstract data type) , open set , combinatorics , mathematical analysis , geometry , computer science , mechanical engineering , engineering , programming language , operating system
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