Open Access
February 2009 An Averaging Theorem for Ordinary Differential Inclusions
Mustapha Lakrib
Bull. Belg. Math. Soc. Simon Stevin 16(1): 13-29 (February 2009). DOI: 10.36045/bbms/1235574188

Abstract

We consider the problem of application of the method of averaging to the asymptotic approximation of solutions of ordinary differential inclusions of the form $\dot x(t) \in f(t/\varepsilon,x(t))$. Our result is formulated in both classical mathematics and nonstandard analysis; its proof uses some methods of nonstandard analysis.

Citation

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Mustapha Lakrib. "An Averaging Theorem for Ordinary Differential Inclusions." Bull. Belg. Math. Soc. Simon Stevin 16 (1) 13 - 29, February 2009. https://doi.org/10.36045/bbms/1235574188

Information

Published: February 2009
First available in Project Euclid: 25 February 2009

zbMATH: 1166.34024
MathSciNet: MR2498955
Digital Object Identifier: 10.36045/bbms/1235574188

Subjects:
Primary: 34A60 , 34C29 , 34E10 , 34E18

Keywords: averaging , Differential inclusions , nonstandard analysis , Stroboscopic method

Rights: Copyright © 2009 The Belgian Mathematical Society

Vol.16 • No. 1 • February 2009
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