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.