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math.DS2017★ 13 cited
Weak topologies for Carathéodory differential equations. Continuous dependence, exponential Dichotomy and attractors
Iacopo P. Longo, Sylvia Novo, Rafael Obaya
We introduce new weak topologies and spaces of Carathéodory functions where the solutions of the ordinary differential equations depend continuously on the initial data and vector…
math.DS2017★ 8 cited
Topologies of type for Carathéodory functions with applications in non-autonomous differential equations
Iacopo P. Longo, Sylvia Novo, Rafael Obaya
Metric topological vector spaces of Carathéodory functions and topologies of type are introduced, depending on a suitable set of moduli of continuity. Theorems of conti…