Abstract
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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© 1995 Birkhäuser Boston
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von Mohrenschildt, M. (1995). Solving Discontinuous Ordinary Differential Equations. In: The Combinatory Programme. Progress in Theoretical Computer Science. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4268-0_7
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DOI: https://doi.org/10.1007/978-1-4612-4268-0_7
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-8716-2
Online ISBN: 978-1-4612-4268-0
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