On the averaging method for differential equations with delay

In this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics and nonstandard analysis. It is proved with internal set theory which is an axiomatic description of nonstandard analysis.

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Bibliographic Details
Published inElectronic journal of differential equations Vol. 2002; no. 65; pp. 1 - 16
Main Author Mustapha Lakrib
Format Journal Article
LanguageEnglish
Published Texas State University 01.07.2002
Subjects
Averaging method
differential equations with delay
nonstandard analysis
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Summary:In this paper, we present averaging results for delay differential equations under weak conditions. The main result is formulated in both classical mathematics and nonstandard analysis. It is proved with internal set theory which is an axiomatic description of nonstandard analysis.
ISSN:1072-6691