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

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

doi:10.1002/mma.4387

Article dans une revue

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
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Soumis le : mardi 3 octobre 2017 - 15:38:17
Dernière modification le : mardi 11 janvier 2022 - 11:16:05

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

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