25 citations · 190 across the 38 of their papers we have counts for
5 papers · 1 filter
Is uniform persisitence a robust property in almost periodic models? A well-behaved family: almost periodic Nicholson systems
Rafael Obaya, Ana M. Sanz
Using techniques of non-autonomous dynamical systems, we completely characterize the persistence properties of an almost periodic Nicholson system in terms of some numerically comp…
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…
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…
Exponential stability for nonautonomous functional differential equations with state-dependent delay
Ismael Maroto, Carmen Núñez, Rafael Obaya
The properties of stability of compact set which is positively invariant for a semiflow determined by a f…
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…