Mathematics – Classical Analysis and ODEs
Scientific paper
2010-11-08
Mathematics
Classical Analysis and ODEs
6 pages; instructional in nature, with (some) historical references; some minor improvements
Scientific paper
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.
Baake Michael
Schlaegel Ulrike
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