Factorization of nonlinear ordinary differential equations, and linearization. (Q1425748)
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scientific article; zbMATH DE number 2060282
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Factorization of nonlinear ordinary differential equations, and linearization. |
scientific article; zbMATH DE number 2060282 |
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Factorization of nonlinear ordinary differential equations, and linearization. (English)
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17 March 2004
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The author considers general differential equations \[ y^{(n)}= F(x,y,y',\dots, y^{(n-1)}).\tag{\(*\)} \] He derives necessary and sufficient conditions for reducing \((*)\) to a linear equation by some coordinate transformations (including the Kummer-Liouville transformation).
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linearization
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factorization
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