25 citations · 190 across the 38 of their papers we have counts for
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Concave-convex nonautonomous scalar ordinary differential equations: from bifurcation theory to critical transitions
Jesús Dueñas, Carmen Núñez, Rafael Obaya
A mathematical modeling process for phenomena with a single state variable that attempts to be realistic must be given by a scalar nonautonomous differential equation t…
Saddle-node bifurcations for concave in measure and d-concave in measure skewproduct flows with applications to population dynamics and circuits
Jesús Dueñas, Carmen Núñez, Rafael Obaya
Concave in measure and d-concave in measure nonautonomous scalar ordinary differential equations given by coercive and time-compactible maps have similar properties to equations sa…
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…