Author

Emilio Vilches

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Preprint Sep 2026

A Filippov theorem for Volterra sweeping processes with one-sided Lipschitz perturbation

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 the assumptions that the moving sets are uniformly prox-regular and Lipschitz continuous with respect to the Hausdorff distance and that the...

A. Jourani, D. Narváez, Emilio Vilches · 0 citations

Preprint Aug 2026

Volterra Sweeping Processes with Multivalued Perturbations under Compactness Conditions

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 and is driven by an outer set-valued perturbation together with a history-dependent integral term that endows the dynamics with memory. The pe...

A. Jourani, D. Narváez, Emilio Vilches · 2 citations