Under- and overdetermined systems of differential equations (Q601782)
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scientific article; zbMATH DE number 5808533
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Under- and overdetermined systems of differential equations |
scientific article; zbMATH DE number 5808533 |
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Under- and overdetermined systems of differential equations (English)
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29 October 2010
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This survey is about the notions ``underdetermined'' and ``overdetermined'' for systems of ODEs or of PDEs. There are relatively simple approaches if one considers formal power series solutions only. A modern treatment is based on the geometric theory of jet bundles and on the algebraic dimension theory of polynomial modules. For more details see the author's monography [Involution. The formal theory of differential equations and its applications in computer algebra, Berlin: Springer (2010; Zbl 1205.35003)].
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formal power series
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algebraic dimension theory
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polynomial modules
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