Three Lectures on Neutral Functional Differential Equations

Abstract

The main idea of this cycle is that mixed initial boundary value
problems for partial differential equations of hyperbolic type in
two dimensions modeling lossless propagation are a valuable source
of functional differential equations, in particular of neutral
type. Starting from the simplest examples there are discussed such
topics as basic theory (including various explanations for what
could actually define a neutral equation), stability and forced
oscillations. Rather than giving strictly rigorous proofs, the
good motivations and final results are given priority. It is
author's strong belief that well formulated applied problems are
able to supply interesting, appealing while not always easy to
solve problems.