This article is cited in 9 papers

Averaging results for functional differential equations

M. Lakrib^ab, T. Sari<sup>a

a</sup> Université de Haute Alsace
^b Université Djillali Liabès Sidi Bel Abbès

Abstract: Under rather general assumptions, we present some improved averaging results for functional differential equations. This is achieved with the help of nonstandard analysis and extends a similar result by the first author for a delay differential equation of a particular form.

Keywords: averaging method, functional differential equation, exponential stability, nonstandard analysis.

UDC: 517.965

Received: 02.06.2003

 English version: Siberian Mathematical Journal, 2004, 45:2, 311–320

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