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Existence Results on the Second-Order Nonconvex Sweeping Processes with Perturbations

Authors:	Messaoud Bounkhel and Dalila-Laouir Azzam

Institution:	(1) Centro de Modelamiento Matemático, UMR, CNRS-UCHILE, Blanco Encalada 2120, 7. Piso, 170-3, Santiago, Chile;(2) Department of Mathematics, University of Jijel, Algeria

Abstract:	We prove several existence theorems for second-order differential inclusions of the form $\dot x(t) \in K(x(t)),\ddot x(t) \in - N(K(x(t));\dot x(t)) + F(t,x(t),\dot x(t))$ , when K and F are two convex or nonconvex set-valued mappings taking their values in a Hilbert space.

Keywords:	uniformly prox-regular set second-order nonconvex sweeping processes second-order nonconvex differential inclusions
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