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Mixed semicontinuous perturbations of nonconvex sweeping processes

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Abstract

In this paper we prove a theorem on the existence of a global solution of a differential inclusion governed by a class of nonconvex sweeping processes with unbounded pertubations. The perturbations are not required to be convex valued.

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Authors and Affiliations

  1. Laboratoire de Mathématiques Pures et Appliquées, Université de Jijel, B.P 98, Jijel, 18000, Algérie

    Tahar Haddad

  2. Département de Mathématiques, Université Montpellier II, 34095, Montpellier Cedex 5, France

    Lionel Thibault

Authors
  1. Tahar Haddad
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  2. Lionel Thibault
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Correspondence to Lionel Thibault.

Additional information

This paper has been realized when the first author visited the department of mathematics of University Montpellier 2 (France).

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Haddad, T., Thibault, L. Mixed semicontinuous perturbations of nonconvex sweeping processes. Math. Program. 123, 225–240 (2010). https://doi.org/10.1007/s10107-009-0315-4

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  • DOI: https://doi.org/10.1007/s10107-009-0315-4

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