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 $\mathbb{R}^{N}$ $$\displaylines{ \partial_t u(t,x) =- a(t)u(t,x) + b(t) \int_{\mathbb{R}^N} J(x,y)f(t,u(t,y))\,dy -h +S(t,x),\quad t\geq\tau \cr u(\tau,x)=u_\tau(x), }$$...
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 |
Similar Items
-
Existence, regularity and upper semicontinuity of pullback attractors for the evolution process associated to a neural field model
by: Flank David Bezerra, et al.
Published: (2017-05-01) -
Asymptotic behavior of non-autonomous stochastic parabolic equations with nonlinear Laplacian principal part
by: Bixiang Wang, et al.
Published: (2013-08-01) -
Pullback attractors for non-autonomous Bresse systems
by: Ricardo de Sa Teles
Published: (2022-01-01) -
Pullback attractors for a class of non-autonomous reaction-diffusion equations in R n $\mathbb{R}^{n}$
by: Qiangheng Zhang
Published: (2017-10-01) -
Continuity and pullback attractors for a semilinear heat equation on time-varying domains
by: Mingli Hong, et al.
Published: (2024-01-01)