Asymptotic behavior for a non-autonomous model of neural fields with variable external stimuli

In this work we consider the class of nonlocal non-autonomous evolution problems in a bounded smooth domain $\Omega$ in $\mathbb{R}^{N}$ $$\displaylines{ \partial_t u(t,x) =- a(t)u(t,x) + b(t) \int_{\mathbb{R}^N} J(x,y)f(t,u(t,y))\,dy -h +S(t,x),\quad t\geq\tau \cr u(\tau,x)=u_\tau(x), }$$...

Full description

Bibliographic Details
Main Author: Severino Horacio da Silva
Format: Article
Language:English
Published: Texas State University 2020-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2020/92/abstr.html