Well-posedness for integro-differential sweeping processes of Volterra type
Optimization and Control
2024-04-12 v1
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.
Keywords
Cite
@article{arxiv.2404.07279,
title = {Well-posedness for integro-differential sweeping processes of Volterra type},
author = {Emilio Vilches},
journal= {arXiv preprint arXiv:2404.07279},
year = {2024}
}