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  • 1
    Electronic Resource
    Electronic Resource
    Necessary conditions for liouvillian solutions of (third order) linear differential equations (1995)
    Springer
    Applicable algebra in engineering, communication and computing 6 (1995), S. 1-22 
    Details
    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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