ISSN:
1432-0622
Keywords:
Linear differential equations
;
Liouvillian solutions
;
Differential Galois group
;
Monodromy group
;
Exponents
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
,
Technology
Notes:
Abstract In this paper we show how group theoretic information can be used to derive a set of necessary conditions on the coefficients ofL(y) forL(y=0 to have a liouvillian solution. The method is used to derive (and improve in one case) the necessary conditions of the Kovacic algorithm and to derive an explicit set of necessary conditions for third order differential equations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01270928
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