17 citations · 62 across the 12 of their papers we have counts for
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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★ 4 cited
Principal Floquet subspaces and exponential separations of type II with applications to random delay differential equations
Janusz Mierczyński, Sylvia Novo, Rafael Obaya
This paper deals with the study of principal Lyapunov exponents, principal Floquet subspaces, and exponential separation for positive random linear dynamical systems in ordered Ban…
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…