FIRST AND SECOND ORDER NONCONVEX SWEEPING PROCESS WITH PERTURBATION

Authors

  • T. Raghib University Sultan My Slimane, Faculty Polydisciplinary, BP 145, Khouribga, Morocco Author
  • M. Aitalioubrahim University Sultan My Slimane, Faculty Polydisciplinary, BP 145, Khouribga, Morocco Author

Keywords:

Differential inclusion, nonconvex sweeping process, subsmooth sets, set-valued map, normal cone

Subjects:

34A60, 34B15, 47H10

Abstract

We prove two existence results for functional differential inclusions governed by sweeping process. We consider the class of subsmooth moving sets. The perturbations depend on all the variables and their values are nonconvex.

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Published

2022-04-15