Corpus ID: 232035571

Nonconvex integro-differential sweeping process with applications

  title={Nonconvex integro-differential sweeping process with applications},
  author={Abderrahim Bouach and T. Haddad and L. Thibault},
In this paper, we analyze and discuss the well-posedness of a new variant of the so-called sweeping process, introduced by J.J. Moreau in the early 70’s [18] with motivation in plasticity theory. In this variant, the normal cone to the (mildly nonconvex) prox-regular moving set C(t), supposed to have an absolutely continuous variation, is perturbed by a sum of a Carathéodory mapping and an integral forcing term. The integrand of the forcing term depends on two time-variables, that is, we study… Expand

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