17 citations · 62 across the 12 of their papers we have counts for
12 papers
A new class of generalized ordinary differential equations with applications
Sylvia Novo, Iacopo P. Longo, Rafael Obaya +1
The paper presents a new approach to the study of precompact families of Carathéodory ODEs using techniques from nonautonomous dynamical systems, together with some applications.
Exponential Ordering for Nonautonomous Neutral Functional Differential Equations
Sylvia Novo, Rafael Obaya, Víctor M. Villarragut
We study monotone skew-product semiflows generated by families of nonautonomous neutral functional differential equations with infinite delay and stable D-operator, when the expone…
Neutral Functional Differential Equations with Applications to Compartmental Systems
Víctor Muñoz-Villarragut, Sylvia Novo, Rafael Obaya
We study the monotone skew-product semiflow generated by a family of neutral functional differential equations with infinite delay and stable D-operator. The stability properties o…
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations
Marek Kryspin, Janusz Mierczynski, Sylvia Novo +1
This paper deals with the exponential separation of type II, an important concept for random systems of differential equations with delay, introduced in \JM\ et al.~\cite{MiNoOb1}.…
The exponential ordering for non-autonomous delay systems with applications to compartmental Nycholson systems
Sylvia Novo, Rafael Obaya, Ana M. Sanz +1
The exponential ordering is exploited in the context of non-auto\-no\-mous delay systems, inducing monotone skew-product semiflows under less restrictive conditions than usual. Som…
Monotone skew-product semiflows for Carathéodory differential equations and applications
Iacopo P. Longo, Sylvia Novo, Rafael Obaya
The first part of the paper is devoted to studying the continuous dependence of the solutions of Carathéodory constant delay differential equations where the vector fields satisfy…
Asymptotic behavior of solutions of nonautonomous neutral dynamical systems
Sylvia Novo, Rafael Obaya, Victor M. Villarragut
This paper studies the dynamics of families of monotone nonautonomous neutral functional differential equations with nonautonomous operator, of great importance for their applicati…
Topologies of continuity for Carathéodory delay differential equations with applications in non-autonomous dynamics
Iacopo P. Longo, Sylvia Novo, Rafael Obaya
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-auton…
Lyapunov exponents and Oseledets decomposition in random dynamical systems generated by systems of delay differential equations
Janusz Mierczyński, Sylvia Novo, Rafael Obaya
Linear skew-product semidynamical systems generated by random systems of delay differential equations are considered, both on a space of continuous functions as~well as on a space…
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…
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…