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Delay equations driven by rough paths

Delay equations driven by rough paths

In this article, we illustrate the flexibility of the algebraic integration formalism introduced in M. Gubinelli, <em>J. Funct. Anal.</em> <strong>216</strong>, 86-140, 2004, <a href="http://www.ams.org/mathscinet-getitem?mr=2005k:60169"> Math. Review 2005k:60169</a>, by establishing an existence and uniqueness result for delay equations driven by rough paths. We then apply our results to the case where …