Simplifying matrix differential equations with general coefficients (Q6588723)
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scientific article; zbMATH DE number 7897902
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simplifying matrix differential equations with general coefficients |
scientific article; zbMATH DE number 7897902 |
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Simplifying matrix differential equations with general coefficients (English)
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16 August 2024
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Let \(F\) be a differential field of the characteristics \(0\) and \(Y'=AY\), \(A\in gl_{F}(n)\) be a linear system of differential equations. How much can one simplify the system using linear transformations of variables? The paper proves that this will require at least \(n\) parameters.
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differential Galois theory
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Picard-Vessiot theory
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gauge transformations
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differential essential dimension
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