Time averaging for functional differential equations

We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.

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Main Author: Mustapha Lakrib
Format: Article
Language:English
Published: Wiley 2003-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/S1110757X03203077
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author Mustapha Lakrib
author_facet Mustapha Lakrib
author_sort Mustapha Lakrib
collection DOAJ
description We present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2003-01-01
publisher Wiley
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series Journal of Applied Mathematics
spelling doaj-art-987a75397f214f88a9a02464a03879b82025-02-03T06:07:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422003-01-012003111610.1155/S1110757X03203077Time averaging for functional differential equationsMustapha Lakrib0Laboratoire de Mathématiques, Université de Haute Alsace, 4 rue des Frères Lumière, Mulhouse 68093, FranceWe present a result on the averaging for functional differential equations on finite time intervals. The result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.http://dx.doi.org/10.1155/S1110757X03203077
spellingShingle Mustapha Lakrib
Time averaging for functional differential equations
Journal of Applied Mathematics
title Time averaging for functional differential equations
title_full Time averaging for functional differential equations
title_fullStr Time averaging for functional differential equations
title_full_unstemmed Time averaging for functional differential equations
title_short Time averaging for functional differential equations
title_sort time averaging for functional differential equations
url http://dx.doi.org/10.1155/S1110757X03203077
work_keys_str_mv AT mustaphalakrib timeaveragingforfunctionaldifferentialequations