ɪn mˌæθɪmˈæɾɪks, ɐ dˌɪfɚɹˈɛnʃəl vˌɛɹɪˈeɪʃənəl ɪniːkwˈɔlᵻɾi dˌiːvˌiːˈaɪ ɪz ɐ daɪnˈæmɪkəl sˈɪstəm ðæt ɪŋkˈoːɹpɚɹˌeɪts ˈɔːɹdɪnˌɛɹi dˌɪfɚɹˈɛnʃəl ᵻkwˈeɪʒənz ænd vˌɛɹɪˈeɪʃənəl ɪniːkwˈɔlᵻɾiz ɔːɹ kˌɑːmplɪməntˈæɹᵻɾi pɹˈɑːbləmz.
In mathematics, a differential variational inequality (DVI) is a dynamical system that incorporates ordinary differential equations and variational inequalities or complementarity problems.