17 citations · 32 across the 7 of their papers we have counts for
7 papers
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…
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…
Exponential Ordering for Neutral Functional Differential Equations With Non-Autonomous Linear D-Operator
Rafael Obaya, Víctor M. Villarragut
We study neutral functional differential equations with stable linear non-autonomous -operator. The operator of convolution transforms into . We show that, if…
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…
Critical transitions for scalar nonautonomous systems with concave nonlinearities: some rigorous estimates
Iacopo P. Longo, Carmen Núñez, Rafael Obaya
The global dynamics of a nonautonomous Carathéodory scalar ordinary differential equation , given by a function which is concave in , is determined by the existen…
New notion of nonuniform exponential dichotomy with applications to the theory of pullback and forward attractors
Jose Antonio Langa, Rafael Obaya, Alexandre N. Oliveira-Sousa
In this work we study nonuniform exponential dichotomies and existence of pullback and forward attractors for evolution processes associated to nonautonomous differential equations…