Initial value problems for singular and nonsmooth second order differential inclusions
Abstract
We study the existence of W2,1 solutions for singular and nonsmooth initial value problems of the type

whereT > 0 is a priori fixed, x0, x1 ∈ ℝ, and F: [0, T ] × ℝ → 𝒫(ℝ) \ {∅︁} is a multivalued mapping. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)