Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Existence and Lyapunov Pairs for the Perturbed Sweeping Process Governed by a Fixed Set |
| Type de publication | Journal Article |
| Year of Publication | 2019 |
| Auteurs | Vilches E |
| Journal | SET-VALUED AND VARIATIONAL ANALYSIS |
| Volume | 27 |
| Pagination | 569-583 |
| Date Published | JUN |
| Type of Article | Article |
| ISSN | 1877-0533 |
| Mots-clés | differential inclusions, Invariance, Lyapunov pair, normal cone, Sweeping process |
| Résumé | The aim of this paper is to prove existence results for a class of sweeping processes in Hilbert spaces by using the catching-up algorithm. These processes are governed by ball-compact non autonomous sets. Moreover, a full characterization of nonsmooth Lyapunov pairs is obtained under very general hypotheses. We also provide a criterion for weak invariance. Some applications to hysteresis and crowd motion are given. |
| DOI | 10.1007/s11228-018-0480-9 |