Regularization of Differential Variational Inequalities with P0-Functions

摘要

Differential variational inequality is a new mathematical paradigm consisting of a system of ordinary differential equations and a parametric variational inequality as the constraint: finding trajectory (x(t), y(t)) satisfying { (x˙) (t) = F(t, x(t), y(t)) y(t)(￠)SOL(Ω,G(t, x(t), ·)) x(0) = x0, t (￠) [0, T], (1) where SOL(Ω,G(t, x(t), ·)) := {y*(￠)2 Ω : (y -y*)TG(t, x(t), y*) ≥0((A)y(￠)Ω)} denotes the solution set of the variational inequality Ⅵ(Ω,G(t, x(t), ·)).