The Peano-Baker series
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2010
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| _version_ | 1866909695053135872 |
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| author | Baake, Michael Schlaegel, Ulrike |
| author_facet | Baake, Michael Schlaegel, Ulrike |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1011_1775 |
| institution | arXiv |
| publishDate | 2010 |
| record_format | arxiv |
| spellingShingle | The Peano-Baker series Baake, Michael Schlaegel, Ulrike Classical Analysis and ODEs 34-01, 34A30 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. |
| title | The Peano-Baker series |
| topic | Classical Analysis and ODEs 34-01, 34A30 |
| url | https://arxiv.org/abs/1011.1775 |