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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 275, Pages 167–171 (Mi tm3334)  
This article is cited in 45 scientific papers (total in 45 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
Full-text PDF (144 kB) Citations (45)
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 275, Pages 155–159
DOI: https://doi.org/10.1134/S0081543811080098
Bibliographic databases:
Document Type: Article
UDC: 517.926.4
Language: English
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
Citation in format AMSBIB
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\paper The Peano--Baker series
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\pages 167--171
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 45 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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