Sliding solutions of second-order differential equations with discontinuous right-hand side

Clayton E. L. Da Silva; Paulo R. Da Silva; Alain Jacquemard

Sliding solutions of second-order differential equations with discontinuous right-hand side

Clayton E. L. Da Silva ^{1, *} Paulo R. Da Silva ¹ Alain Jacquemard ^{2, 3}

* Auteur correspondant

1 UFMT - Universidade Federal de Mato Grosso

2 IMB - Institut de Mathématiques de Bourgogne [Dijon]

3 PolSys - Polynomial Systems

LIP6 - Laboratoire d'Informatique de Paris 6, Inria de Paris

Abstract : 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.

Keywords : Sliding solution Filippov system Nonsmooth dynamical system Differential equation

Type de document :

Article dans une revue

Domaine :

Mathématiques [math]

Liste complète des métadonnées

https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01609363
Contributeur : Imb - Université de Bourgogne <>
Soumis le : mardi 3 octobre 2017 - 15:38:17
Dernière modification le : vendredi 24 mai 2019 - 17:31:44

Sliding solutions of second-order differential equations with discontinuous right-hand side

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Sliding solutions of second-order differential equations with discontinuous right-hand side

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