Existence, regularity and upper semicontinuity of pullback attractors for the evolution process associated to a neural field model
In this work we study the pullback dynamics of a class of nonlocal non-autonomous evolution equations for neural fields in a bounded smooth domain $\Omega$ in $\mathbb{R}^N$ \[ \begin{cases} \partial_t u(t,x) =- u(t,x) + \displaystyle\int_{\mathbb{R}^N} J(x,y)f(t,u(t,y))dy,\ t\geq\tau,\ x \in...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2017-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5731 |