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
Mathematical Methods in the Applied Sciences, Wiley, 2017, 40 (14), pp.5295 - 5306. 〈10.1002/mma.4387〉
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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 : mercredi 21 mars 2018 - 18:58:22

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INSMI | LIP6 | UPMC | INRIA2017 | INRIA | IMB_UMR5584

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Clayton E. L. Da Silva, Paulo R. Da Silva, Alain Jacquemard. Sliding solutions of second-order differential equations with discontinuous right-hand side. Mathematical Methods in the Applied Sciences, Wiley, 2017, 40 (14), pp.5295 - 5306. 〈10.1002/mma.4387〉. 〈hal-01609363〉

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