The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem.
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The Picard-Lindelöf Theorem and continuation of solutions for measure differential equations
Gastón Beltritti, Stefania Demaria, Graciela Giubergia, Fernando Mazzone (2025)
Czechoslovak Mathematical Journal
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.
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