Existence results for nonsmooth second-order differential inclusions, convergence result for a numerical scheme and application to the modeling of inelastic collisions

DOI10.1142/S1793744210000247zbMath1216.34016arXiv1001.0701OpenAlexW2963880578MaRDI QIDQ624899

Aline Lefebvre-Lepot, Frédéric Bernicot

Publication date: 10 February 2011

Published in: Confluentes Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0701

zbMATH Keywords

numerical schemenonsmoothmultivalued mapproximal normal coneinelastic collisionssecond order differential inclusions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ordinary differential inclusions (34A60) Stability and convergence of numerical methods for ordinary differential equations (65L20)

Related Items (5)

Existence of solutions for a Lipschitzian vibroimpact problem with time-dependent constraints ⋮ On convex numerical schemes for inelastic contacts with friction ⋮ Existence and approximation for vibro-impact problems with a time-dependent set of constraints ⋮ Existence of solutions for second-order differential inclusions involving proximal normal cones ⋮ Sweeping process by prox-regular sets in Riemannian Hilbert manifolds

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