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Mathematics > Classical Analysis and ODEs

Title: On the definition of a solution to a rough differential equation

Authors: I. Bailleul
Abstract: We give an elementary proof that Davie's definition of a solution to a rough differential equation and the notion of solution given by Bailleul in (Flows driven by rough paths) coincide. This provides an alternative point on view on the deep algebraic insights of Cass and Weidner in their work (Tree algebras over topological vector spaces in rough path theory).
Comments: 7 pages
Subjects: Classical Analysis and ODEs (math.CA)
Cite as: arXiv:1803.06479 [math.CA]
  (or arXiv:1803.06479v1 [math.CA] for this version)

Submission history

From: Ismael Bailleul [view email]
[v1] Sat, 17 Mar 2018 07:27:36 GMT (11kb)