5 papers
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…
Forwards attraction properties in scalar non-autonomous linear dissipative parabolic PDEs. The case of null upper lyapunov exponent
José antonio langa, Rafael Obaya, Ana María Sanz
As it is well-known, the forwards and pullback dynamics are in general unrelated. In this paper we present an in-depth study of whether the pullback attractor is also a forwards at…
Persistence in nonautonomous quasimonotone parabolic partial functional differential equations with delay
Rafael Obaya, Ana M. Sanz
This paper provides a dynamical frame to study non-autonomous parabolic partial differential equations with finite delay. Assuming monotonicity of the linearized semiflow, conditio…