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The Differential Galois Theory is a generalization of the Galois Theory. The fields are fields of functions and extensions of fields are defined by means of solutions of linear ordinary differential equations. The differential Galois group is the group of symmetries of the space of solutions.

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The Galois Theory

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    2025年

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摘要

The Differential Galois Theory is a generalization of the Galois Theory. The fields are fields of functions and extensions of fields are defined by means of solutions of linear ordinary differential equations. The differential Galois group is the group of symmetries of the space of solutions.