Sliding solutions of second-order differential equations with discontinuous right-hand side
| Affiliation auteurs | !!!! Error affiliation !!!! |
| Titre | Sliding solutions of second-order differential equations with discontinuous right-hand side |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | da Silva CEL, da Silva PR, Jacquemard A |
| Journal | MATHEMATICAL METHODS IN THE APPLIED SCIENCES |
| Volume | 40 |
| Pagination | 5295-5306 |
| Date Published | SEP 30 |
| Type of Article | Article |
| ISSN | 0170-4214 |
| Mots-clés | differential equation, Filippov system, nonsmooth dynamical system, sliding solution |
| Résumé | We consider second-order ordinary differential equations with discontinuous right-hand side. We analyze the concept of solution of this kind of equations and determine analytical conditions that are satisfied by typical solutions. Moreover, the existence and uniqueness of solutions and sliding solutions are studied. Copyright (C) 2017 JohnWiley & Sons, Ltd. |
| DOI | 10.1002/mma.4387 |