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Original Articles

Real Liouville Extensions

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Pages 2089-2093 | Received 16 Jan 2013, Published online: 27 Feb 2015
 

Abstract

We characterize linear differential equations defined over a real differential field with a real closed field of constants C, which are solvable by real Liouville functions, as those having a differential Galois group whose identity component is solvable and C-split.

2010 Mathematics Subject Classification:

Notes

Communicated by A. Elduque.

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