Non-convex sweeping processes in the space of regulated functions

<p style='text-indent:20px;'>The aim of this paper is to study a wide class non-convex sweeping processes with moving constraint whose translation and deformation are represented by regulated functions, i. e., functions not necessarily bounded variation admitting one-sided limits at every point. Assuming that the time-dependent uniformly prox-regular has non-empty interior, we prove existence uniqueness solutions, as well continuous data dependence respect sup-norm.</p>