Besalú, MireiaMárquez, David (Márquez Carreras)Rovira Escofet, Carles2024-11-182024-11-1820140926-2601https://hdl.handle.net/2445/216547In this note we prove an existence and uniqueness result of solution for multidimensional delay differential equations with normal reflection and driven by a Hölder continuous function of order $\beta \in\left(\frac{1}{3}, \frac{1}{2}\right)$. We also obtain a bound for the supremum norm of this solution. As an application, we get these results for stochastic differential equations driven by a fractional Brownian motion with Hurst parameter $\mathrm{H} \in\left(\frac{1}{3}, \frac{1}{2}\right)$.22 p.application/pdfeng(c) Springer Verlag, 2014Integrals estocàstiquesCàlcul de MalliavinAnàlisi estocàsticaStochastic integralsMalliavin calculusStochastic analysisDelay Equations with Non-negativity Constraints Driven by a Hölder Continuous Function of Order $\beta \in\left(\frac{1}{3}, \frac{1}{2}\right)$info:eu-repo/semantics/article6421132024-11-18info:eu-repo/semantics/openAccess