Young differential inclusions

Ismaël Bailleul (1) , Laure Coutin (2)

1 IRMAR - Institut de Recherche Mathématique de Rennes
2 UT3 - Université Toulouse III - Paul Sabatier

We define in this note a notion of Young differential inclusion and give an existence result for such a differential system driven by mildy rough signals. As a by-product of our proof, we show that a bounded, compact-valued, a-Holder continuous set-valued map on the interval [0,1] has a selection with finite p-variation, for p>1/a.

Domaines: Systèmes dynamiques [math.DS]

Ismaël Bailleul, Laure Coutin. Young differential inclusions. 2018. ⟨hal-01958597⟩