BV periodic solutions of an evolution problem associated with continuous moving convex sets.

This paper is concerned with BV periodic solutions for multivalued perturbations of an evolution equation governed by the sweeping process (or Moreau's process). The perturbed equation has the form −D u∈ N( t)( u( t))+ F( t, u( t)), where C is a closed convex valued continuous T-periodic multifunction from [0, T] to ℝ, N( t)( u( t)) is the normal cone of C( t) at u( t), F: [0, T]×ℝ→ℝ is a compact convex valued multifunction and D u is the differential measure of the periodic BV solution u. Several existence results for this differential inclusion are stated under various assumptions on the perturbation F. [ABSTRACT FROM AUTHOR]