Nonlinear dynamical systems & control theory

1.4. Caratheodory existence🔗

🔗def
IsAEIntegralCurve.{u_1} {E : Type u_1} [NormedAddCommGroup E] [NormedSpace E] (γ : E) (v : E E) : Prop
IsAEIntegralCurve.{u_1} {E : Type u_1} [NormedAddCommGroup E] [NormedSpace E] (γ : E) (v : E E) : Prop

IsAEIntegralCurve γ v means γ : E is a global integral curve of v almost everywhere. That is, γ t is tangent to v t (γ t) for almost all t : .