3 papers
math.OC2025
Periodic limit for non-autonomous Lagrangian systems and applications to a Kuramoto type model
Veronica Danesi, Cristian Mendico, Xuan Tao +1
This paper explores the asymptotic properties of non-autonomous Lagrangian systems, assuming that the associated Tonelli Lagrangian converges to a time-periodic function. Specifica…
math.AP2025
Discretization and Vanishing Discount Problems for First-order Mean Field Games
Renato Iturriaga, Cristian Mendico, Kaizhi Wang +1
This article focuses two issues related to the first-order discounted mean field games system. The first is the time discretization problem. The time discretization approach enable…
math.OC2025
Relaxed Lagrangian Approach to First-Order Non-Convex Mean Field Type Control Problem
Cristian Mendico, Kaizhi Wang, Yuchen Xu
This paper addresses the existence of equilibria for Mean Field type Control problems of first-order with non-convex action functional. Introducing a relaxed Lagrangian approach on…