Topologies of continuity for Carath\'eodory delay differential equations with applications in non-autonomous dynamics

10 Jan 2019 Longo Iacopo P. Novo Sylvia Obaya Rafael

We study some already introduced and some new strong and weak topologies of integral type to provide continuous dependence on continuous initial data for the solutions of non-autonomous Carath\'eodory delay differential equations. As a consequence, we obtain new families of continuous skew-product semiflows generated by delay differential equations whose vector fields belong to such metric topological vector spaces of Lipschitz Carath\'eodory functions... (read more)

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