This paper analyzes and discusses the well-posedness of two new variants of the so-called sweeping process introduced by Moreau in the early 70s and shows how elegant modern convex analysis was influenced by moreau’s seminal work.Expand

For a general class of nonconvex and non prox-regular sets, we associate with any sweeping process differential inclusion with such sets an unconstraint differential inclusion whose any solution is a… Expand

We prove, via a new projection algorithm, the existence of solutions for differential inclusion generated by sweeping process with closed convex sets depending on state.

We prove the existence of solutions to the dierential inclusion ¨ x(t) 2 F(x(t), ˙ x(t)) + f(t,x(t), ˙ x(t)), x(0) = x0, ˙ x(0) = y0, where f is a Caratheodory function and F with nonconvex values in… Expand

We prove the existence of solutions to the functional differential inclusion of the form where is a Carathéodory function and an upper semicontinuous multifunction with compact values in a Hilbert… Expand

A theorem on the existence of a global solution of a differential inclusion governed by a class of nonconvex sweeping processes with unbounded perturbations is proved.Expand

The link between the implicit sweeping process and the quasistatic evolution variational inequality is possible thanks to some standard tools from convex analysis and is new in the literature.Expand