The method of averaging and functional differential equations with delay (Q5954649)

Summary: The author presents a natural extension of the method of averaging to fast oscillating functional-differential equations with delay. Unlike the usual approach, where the analysis is kept in an infinite-dimensional Banach space, this analysis is achieved in \(\mathbb{R}^n\). The results are formulated in classical mathematics. They are proved within interval set theory which is an axiomatic description of nonstandard analysis.