Nonconvex second-order differential inclusions with memory
A second-order differential inclusion with a memory of the form \(x'(t)\in G(x(t))\), \(x''(t)\in -N_{G(x(t))} x'(t)+ F(t, T(t) x)\) is considered in the Euclidean space \(\mathbb{R}^ n\) or in a Hilbert space. Here \(N\) denotes the inward Clarke's normal cone. Existence theorems for the above system are given either for \(F\) non-convex valued or for both \(F\) and \(G\) non- convex valued.
second-order differential inclusion with a memory
scientific article; zbMATH DE number 773790
scientific article