2 papers
math.OC2026
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…
math.OC2024
Galerkin-like Method for Integro-Differential Inclusions with applications to Volterra Sweeping processes
Pedro Pérez-Aros, Manuel Torres-Valdebenito, Emilio Vilches
In this paper, we develop the Galerkin-like method to address first-order integro-differential inclusions. Under compactness or monotonicity conditions, we obtain new results for t…