66 citations · 66 across the 5 of their papers we have counts for
5 papers · 1 filter
On existence of semi-wavefronts for a non-local reaction-diffusion equations with distributed time delay
Maitere Aguerrea, Carlos Gómez
We establish the existence of semi-wavefronts solutions for a non-local delayed reaction-diffusion equation with monostable nonlinearity. The existence result is proved for all spe…
Existence and Properties of Semi-Bounded Global Solutions to the Functional Differential Equation with Volterra's Type Operators on the Real Line
Maitere Aguerrea, Robert Hakl
Consider the equation $$ u'(t)=\ell_0(u)(t)-\ell_1(u)(t)+f(u)(t)\qquad\mbox{for~a.~e.~}\,t\in\mathbb{R} $$ where $\ell_i:C_{loc}\big(\mathbb{R};\mathbb{R}\big)\to L_{loc}\big(\math…
On the uniqueness of semi-wavefronts for non-local delayed reaction-diffusion equations
Maitere Aguerrea
We establish the uniqueness of semi-wavefront solution for a non-local delayed reaction-diffusion equation. This result is obtained by using a generalization of the Diekman-Kaper t…
On the minimal speed of traveling waves for a non-local delayed reaction-diffusion equation
Maitere Aguerrea, Gabriel Valenzuela
In this note, we give constructive upper and lower bounds for the minimal speed of propagation of traveling waves for non-local delayed reaction-diffusion equation.
Uniqueness of fast travelling fronts in reaction-diffusion equations with delay
Maitere Aguerrea, Sergei Trofimchuk, Gabriel Valenzuela
We consider positive travelling fronts of the time-delayed reaction-diffusion equation with the monostable birth function. Our main result says that for every fixed and sufficientl…