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Solving Discontinuous Ordinary Differential Equations

M. V. Mohrenschildt
Published 1995 · Mathematics

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In this paper we generalize the basic notations of the Liouville-Ritt-Risch theory of closed-form solutions to discontinuous field extensions. Our aim is to extend the theory of differential fields such that the “classical algorithm” like the Risch structure theorem and the algorithm solving the Risch differential equation can be extended to handle discontinuous extensions.



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