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SIAM Journal on Mathematical Analysis
Article . 1983 . Peer-reviewed
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https://dx.doi.org/10.1137/051...
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On the Fundamental Theorem of Averaging

On the fundamental theorem of averaging
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1983 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 14, pages 1-10 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )
Authors: Sanders, J. A.;

doi: 10.1137/0514001

On the Fundamental Theorem of Averaging

Abstract

In this paper we present a simplified proof of the validity of first and second order averaging in the general case; the periodic case follows as a corollary.

Keywords

Averaging method for ordinary differential equations, second order averaging

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
4
Average
Average
Average
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