Differential inclusion
In mathematics, differential inclusions are a generalization of the concept of ordinary differential equation of the form d x d t ( t ) ∈ F ( t , x ( t ) ) , {\displaystyle {\frac {dx}{dt}}(t)\in F(t,x(t)),} where F is a multivalued map, i.e. F(t, x) is a set rather than a single point in R d {\displaystyle \mathbb {R} ^{d}} .