5 papers
Existence of Traveling Waves for a Diffusive Nicholson Equation with Harvesting
Adrián Gómez, Helí Elorreaga, Cesar Guayasamin
We prove the existence of traveling wave solutions for a diffusive Nicholson model with a delayed linear harvesting term and two delayed-response channels. Our approach combines mo…
Conditions for uniform --dichotomy in terms of uniform non criticality, expansiveness and via generalized Floquet theory
Heli Elorreaga, Gonzalo Robledo, David Urrutia-Vergara
In this article, we complete the study of the equivalences between the properties of --dichotomy, --noncriticality and --expansiveness of a linear nonautonomous ODE system…
Smoothness of the Conjugacy in a Delayed Nonautonomous Hartman--Grobman Theorem via -Dichotomies
Álvaro Castañeda, Heli Elorreaga
We investigate the differentiability of the conjugacy in a nonautonomous version of the Hartman--Grobman Theorem for systems with finite delay, where the linear part satisfies a $μ…
Uniform -dichotomies: noncritical uniformity and expansivity
Heli Elorreaga, Juan Peña, Gonzalo Robledo
The property of exponential dichotomy can be seen as a generalization of the hyperbolicity condition for non autonomous linear finite dimensional systems of ordinary differential e…
Exponential dichotomy for a class of asymptotically autonomous delayed differential equations
Heli Elorreaga, Adrian Gomez
In this work we give a criterion to have an exponential dichotomy over all for delayed systems , where , and the syste…