JournalspmVol. 65 , No. 1DOI 10.4171/pm/1797

An existence result for a new variant of the nonconvex sweeping process

  • Messaoud Bounkhel

    King Saud University, Riyadh, Saudi Arabia
  • Tahar Haddad

    University of Jijel, Algeria
An existence result for a new variant of the nonconvex sweeping process cover

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Abstract

In this paper we prove the existence of solutions of the following new variant of the nonconvex sweeping process with perturbation − Au(t) ∈ NC(t)(dot{u}(t)) + ü(t) + F(t,dot{u}(t)) a.e. on [ 0,T  ] (T > 0).