Well-posedness for integro-differential sweeping processes of Volterra type

2024/04/10 by Vilches, Emilio
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2404.07279

Abstract

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 technique, and a fixed point argument for history-dependent operators, we obtain the existence of solutions and provide a fully continuous dependence result for the integro-differential sweeping process. The paper ends with an application to projected dynamical systems.

Related

• A fixed-point approach to history-dependent sweeping processes
• Nonconvex integro-differential sweeping process with applications
• Galerkin-like Method for Integro-Differential Inclusions with applications to Volterra Sweeping processes
• Lipschitz multivalued perturbations of integro-differential prox-regular sweeping processes
• Optimal control of nonconvex integro-differential sweeping processes