Lipschitz multivalued perturbations of integro-differential prox-regular sweeping processes

2024/07/23 by Tahar Haddad, Haddad, Tahar, Sarra Gaouir +3
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.2407.16304

openalex publication_date 2024/07/23 · openalex created_date 2025/01/05 · openalex updated_date 2026/07/28

Abstract

Integro-differential sweeping processes with prox-regular sets in Hilbert spaces have been the subject of various recent studies. Diverse applications of such differential inclusions to complementarity problems, electrical circuits, frictionless contact, can be found in the literature. Here we provide a general theorem of existence of solution for such processes perturbed by a Lipschitz multimapping with nonconvex values.

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