Symbolic Computation Group

David R. Cheriton School of Computer Science
University of Waterloo, Waterloo, Ontario, Canada

Linear differential equations in exponential extensions
Anne Fredet, Laboratoire GAGE, Ecole Polytechnique, France
Friday, December 6, 2002, at U. of Western Ontario.

Abstract:

The theory of closed form solutions of linear differential equations lies in differential Galois theory. This allows us to search for solutions with a special form, for example liouvillian solutions. While this theory is available for any coefficient field, the algorithms are typically developed for linear differential equations having coefficients in C(x).In this talk we present some algorithms for solving linear differential equations where the coefficients come from exponential extensions of a base field.

 

Last modified on Sunday, 04 November 2012, at 20:42 hours.