Mohammed S. Abdo, Ahmed G. Ibrahim, Satish K. Panchal
Noncompact perturbation of nonconvex noncompact sweeping process with delay

Abstract:We prove an existence theorem of solutions for a nonconvex sweeping process with nonconvex noncompact perturbation in Hilbert space. We do not assume that the values of the orient field are compact.

Keywords: nonconvex sweeping process; functional differential inclusion; uniformly $\varrho$-prox-regular set

DOI: DOI 10.14712/1213-7243.2020.014
AMS Subject Classification: 34A60 34B15 47H10