Existence of solutions for second-order differential inclusions involving proximal normal cones

Frederic Bernicot; Juliette Venel

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arXiv · 1006.2292

Existence of solutions for second-order differential inclusions involving proximal normal cones

Frederic Bernicot·Juliette Venel

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Abstract

In this work, we prove global existence of solutions for second order differential problems in a general framework. More precisely, we consider second order differential inclusions involving proximal normal cone to a set-valued map. This set-valued map is supposed to take admissible values (so in particular uniformly prox-regular values, which may be non-smooth and non-convex). Moreover we require the solution to satisfy an impact law, appearing in the description of mechanical systems with inelastic shocks.

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BibTeX RIS

Frederic Bernicot, Juliette Venel. 2010-06-11. Existence of solutions for second-order differential inclusions involving proximal normal cones. https://arxiv.org/abs/1006.2292

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