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Maximal Monotone Differential Inclusions with Volterra and One-Sided Lipschitz Perturbations under Nonlocal Initial Conditions and Applications
Abderrahim Jourani, Manuel Torres-Valdebenito
We investigate a class of differential inclusions governed by non-autonomous and autonomous maximal monotone operators, involving set-valued perturbations with a Volterra integral…
A Filippov theorem for Volterra sweeping processes with one-sided Lipschitz perturbation
Abderrahim Jourani, Diana Narváez, Emilio Vilches
We prove a Filippov-type stability theorem for integro-differential sweeping processes of Volterra type with an outer multivalued perturbation, in a separable Hilbert space, under…
Volterra Sweeping Processes with Multivalued Perturbations under Compactness Conditions
Abderrahim Jourani, Diana Narváez, Emilio Vilches
We study integro-differential sweeping processes of Volterra type in a separable Hilbert space, in which the velocity is governed by the normal cone to a prox-regular moving set an…