Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces

Abstract EN

We prove two results concerning the existence of solutionsfor functional differential inclusions that are governed by sweepingprocesses, with noncompact valued perturbations in Banach spaces.

Indeed,we have two goals.

The first is to give a technique that allows consideringsweeping processes with noncompact valued perturbations and associated witha multivalued function depending on time.

The second is to give a techniqueto overcome the arising problem from the nonlinearity of the normalizedmappings, when we deal with sweeping processes with noncompact valuedperturbations and associated with a multivalued function depending on timeand state.