On wellposedness of generalized neural field equations with delay
Evgenii Olegovich Burlakov, Evgeny Semenovich Zhukovskiy, Arcady Vladimirovich Ponosov, John Andreas Wyller · arXiv (Cornell University) · 2018
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.