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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 275, Pages 167–171
(Mi tm3334)
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This article is cited in 40 scientific papers (total in 40 papers)
The Peano–Baker series
Michael Baakea, Ulrike Schlägelb a Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany
b Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada
Abstract:
This note reviews the Peano–Baker series and its use to solve the general linear system of ODEs. The account is elementary and self-contained, and is meant as a pedagogic introduction to this approach, which is well known but usually treated as a folklore result or as a purely formal tool. Here, a simple convergence result is given, and two examples illustrate that the series can be used explicitly as well.
Received in November 2010
Citation:
Michael Baake, Ulrike Schlägel, “The Peano–Baker series”, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Collected papers. In commemoration of the 120th anniversary of Boris Nikolaevich Delone's birth, Trudy Mat. Inst. Steklova, 275, MAIK Nauka/Interperiodica, Moscow, 2011, 167–171; Proc. Steklov Inst. Math., 275 (2011), 155–159
Linking options:
https://www.mathnet.ru/eng/tm3334 https://www.mathnet.ru/eng/tm/v275/p167
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Abstract page: | 564 | Full-text PDF : | 236 | References: | 62 |
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