Flows equivalences | Zendy

Gabriel Soler López | Zendy

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Flows 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

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