MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
FIRST AND SECOND ORDER NONCONVEX SWEEPING PROCESS WITH PERTURBATION
T. Raghib, M. Aitalioubrahim

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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Keywords: Differential inclusion; nonconvex sweeping process; subsmooth sets; set-valued map; normal cone.

MSC: 34A60, 34B15, 47H10

Pages:  141$-$154     

Volume  74 ,  Issue  2 ,  2022