8 papers · 1 filter
A new class of generalized ordinary differential equations with applications
Sylvia Novo, Rafael Obaya, Ana M. Sanz
The space of parametric b-measures endowed with appropriate topologies is introduced to define a new class of generalized ODEs given by parametric b-measures. This framework offers…
Tracking nonautonomous attractors in singularly perturbed systems of ODEs with dependence on the fast time
Iacopo P. Longo, Rafael Obaya, Ana M. Sanz
New results on the behaviour of the fast motion in slow-fast systems of ODEs with dependence on the fast time are given in terms of tracking of nonautonomous attractors. Under quit…
Attractors In Almost Periodic Nicholson Systems And Some Numerical Simulations
Ana M. Sanz, Víctor M. Villarragut
The existence of a global attractor is proved for the skew-product semiflow induced by almost periodic Nicholson systems and new conditions are given for the existence of a unique…
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…
Topologies of continuity for Carathéodory parabolic PDEs from a dynamical perspective
Iacopo P. Longo, Rafael Obaya, Ana M. Sanz
Systems of non-autonomous parabolic partial differential equations over a bounded domain with nonlinear term of Carathéodory type are considered. Appropriate topologies on sets of…
Non-autonomous scalar linear-dissipative and purely dissipative parabolic PDEs over a compact base flow
Rafael Obaya, Ana Sanz
In this paper a family of non-autonomous scalar parabolic PDEs over a general compact and connected flow is considered. The existence or not of a neighbourhood of zero where the pr…