A. Gomez

activity

20102023

most citedGlobal continuation of monotone wavefronts

41 citations · 41 across the 3 of their papers we have counts for

collaborators

4 papers

math.DS2023

Bifurcation and periodic solutions to population models with two dependent delays

Adrian Gomez, Jose Oyarce

We investigate the scalar autonomous equation with two discrete delays $x ˙ (t) = f (x (t), x (t - r), x (t - σ)),$ where $f : R^{3} \to R$ is a continuously differ…

math.DS2023

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 $R$ for delayed systems $x^{'} (t) = L (t) x_{t}$ , where $L_{\pm} = lim_{t \to \pm \infty} L (t)$ , and the syste…

math.CA2012★ 41 cited

Global continuation of monotone wavefronts

Adrian Gomez, Sergei Trofimchuk

In this paper, we answer the question about the criteria of existence of monotone travelling fronts $u = ϕ (ν \cdot x + c t), ϕ (- \infty) = 0, ϕ (+ \infty) = κ,$ for the monostable (and, in…

math.CA2010

Monotone traveling wavefronts of the KPP-Fisher delayed equation

Adrian Gomez, Sergei Trofimchuk

In the early 2000's, Gourley (2000), Wu et al. (2001), Ashwin et al. (2002) initiated the study of the positive wavefronts in the delayed Kolmogorov-Petrovskii-Piskunov-Fisher equa…