This book presents as its main subject new models in mathematical
neuroscience. A wide range of neural networks models with
discontinuities are discussed, including impulsive differential
equations, differential equations with piecewise constant arguments, and
models of mixed type. These models involve discontinuities, which are
natural because huge velocities and short distances are usually observed
in devices modeling the networks. A discussion of the models,
appropriate for the proposed applications, is also provided.