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On Wellposedness of Generalized Neural Field Equations with Delay

Volume 6, Number 1 (2015), 51 - 80

On Wellposedness of Generalized Neural Field Equations with Delay

Communicated By: 
Enrique Zuazua
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Abstract

We obtain conditions for existence of unique global or maximally extended solutions to generalized neural field equations. We also study continuous dependence of these solutions on the spatiotemporal integration kernel, delay effects, firing rate and prehistory functions.