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Reduction of state dependent sweeping process to unconstrained differential inclusion. (English) Zbl 1323.34028

Authors’ abstract: In this article we discuss the differential inclusion known as state dependent sweeping process for a class of prox-regular non-convex sets. We associate with any state dependent sweeping process with such sets an unconstraint differential inclusion whose any solution is a solution of the state sweeping process too. We prove a theorem on the existence of a global solution of nonconvex state dependent sweeping process with unbounded perturbations. The perturbations are not required to be convex valued.

MSC:

34A60 Ordinary differential inclusions
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