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Received March 14, 2020; Accepted June 17, 2020; Published June 29, 2020
Abstract. In this paper, we consider a perturbed second order nonconvex sweeping process for a class of subsmooth moving sets depending jointly on time, state and velocity. The perturbation, known as the external forces applied on the system, is general and takes the form of a sum of a single-valued continuous mapping and a set-valued unbounded mapping. We generalize earlier results obtained for this kind of problems. We deal also with a delayed perturbation, we extend a discretization approach known for the time-dependent sweeping process to the case when the moving set depends also on state and velocity.
How to Cite this Article:
Doria Affane, Mustapha Fateh Yarou, General second order functional differential inclusion driven by the sweeping process with subsmooth sets, Journal of Nonlinear Functional Analysis, Vol. 2020 (2020), Article ID 26, pp. 1-18.