The Existence of Solutions for Rough Differential Equations

In one of the last Saint Flour lectures in 2004, T. Lyons remarked that a Peano theorem for rough differential equations had not yet been proved. The first successful attempt to prove this existence result was carried out by A.M. Davie. Using generalized Euler schemes, Davie showed that when working...

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Bibliographic Details
Main Author: Caruana, Michael
Published: University of Oxford 2007
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.491331