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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 2, Pages 375–386
(Mi smj1075)
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This article is cited in 8 scientific papers (total in 8 papers)
Averaging results for functional differential equations
M. Lakribab, T. Saria a 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.
Received: 02.06.2003
Citation:
M. Lakrib, T. Sari, “Averaging results for functional differential equations”, Sibirsk. Mat. Zh., 45:2 (2004), 375–386; Siberian Math. J., 45:2 (2004), 311–320
Linking options:
https://www.mathnet.ru/eng/smj1075 https://www.mathnet.ru/eng/smj/v45/i2/p375
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