The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem.
The Picard-Lindelöf Theorem and continuation of solutions for measure differential equations
We obtain, by means of Banach's Fixed Point Theorem, convergence for the Picard iterations associated to a general nonlinear system of measure differential equations. We study the existence of left-continuous solutions defined on maximal intervals and we establish some properties of these maximal solutions.