Delay equations with non-negativity constraints driven by a H\"older   continuous function of order \beta in (1/3,1/2)
  In this note we prove an existence and uniqueness result of solution for multidimensional delay differential equations with normal reflection and driven by a H\"older continuous function of order $\beta \in (\frac13,\frac12)$. 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 H $\in (\frac13,\frac12)$. 
Mireia Besal\'u, David M\'arquez-Carreras, Carles Rovira
math.PR