The method of averaging and functional differential equations with delay

Mustapha Lakrib

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-15

Abstract:

We present 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, our analysis is achieved in ℝ n . Our results are formulated in classical mathematics. They are proved within Internal Set Theory which is an axiomatic description of nonstandard analysis.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:783782

DOI: 10.1155/S0161171201010407

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