Time reversal of Volterra processes driven stochastic differential equation

Laurent Decreusefond (1, 2)

1 Télécom ParisTech
2 LTCI - Laboratoire Traitement et Communication de l'Information

We consider stochastic differential equations driven by some Volterra processes. Under time reversal, these equations are transformed into past dependent stochastic differential equations driven by a standard Brownian motion. We are then in position to derive existence and uniqueness of solutions of the Volterra driven SDE considered at the beginning.

Domaines: Probabilités [math.PR]

Laurent Decreusefond. Time reversal of Volterra processes driven stochastic differential equation. International Journal of Stochastic Analysis, 2013, 2013, pp.13. ⟨10.1155/2013/790709⟩. ⟨hal-00509900v2⟩