Existence results for nonsmooth second-order differential inclusions, convergence result for a numerical scheme and application to the modeling of inelastic collisions
Confluentes Mathematici, Tome 2 (2010) no. 4, pp. 445-471.

We are interested in the existence results for second-order differential inclusions, involving finite number of unilateral constraints in an abstract framework. These constraints are described by a set-valued operator, more precisely a proximal normal cone to a time-dependent set. In order to prove these existence results, we study an extension of the numerical scheme introduced in [10] and prove a convergence result for this scheme.

Publié le :
DOI : 10.1142/S1793744210000247
Bernicot, Frédéric 1 ; Lefebvre-Lepot, Aline 1

1
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Bernicot, Frédéric; Lefebvre-Lepot, Aline. Existence results for nonsmooth second-order differential inclusions, convergence result for a numerical scheme and application to the modeling of inelastic collisions. Confluentes Mathematici, Tome 2 (2010) no. 4, pp. 445-471. doi : 10.1142/S1793744210000247. http://www.numdam.org/articles/10.1142/S1793744210000247/

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