3 papers
math.OC2026
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…
math.OC2024
A fixed-point approach to history-dependent sweeping processes
Matías Godoy, Manuel Torres-Valdebenito, Emilio Vilches
In this paper, we study the well-posedness of state-dependent and state-independent sweeping processes driven by prox-regular sets and perturbed by a history-dependent operator. Ou…
math.OC2023
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…