2 papers
math.OC2024
A fixed-point approach to history-dependent sweeping processes
MatÃas 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.OC2024
Well-posedness for integro-differential sweeping processes of Volterra type
Emilio Vilches
In this paper, we study the well-posedness of integro-differential sweeping processes of Volterra type. Using new enhanced versions of Gronwall's inequality, a reparametrization te…