Constructing a third-order linear differential equation

Theoretical Computer Science

Volumn 187, Issue 1-2, 1997, Pages 3-6

  Geiselman, Willi ^a   Ulmer, Felix ^b  

^a UNIVERSITY OF KARLSRUHE   (Germany)

^b UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

PROGRAMMING THEORY;

DIFFERENTIAL GALOIS GROUP; THIRD ORDER LINEAR DIFFERENTIAL EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 0031276772     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(97)00053-4     Document Type: Article

References (6)

1. M. Bronstein, Solutions of linear differential equations in their coefficient field, J. Symbol Comput. 13 (1992) 413-439.
2. M. van Hoeij, J.A. Weil, An algorithm for computing invariants of differential Galois groups, preprint, University of Groningen, Presented at the MEGA' 96 Conf., 1996.
3. A. Hurwitz, Über einige besondere homogene lineare Differentialgleichung, Math. Ann. 26 (1886).
4. M.F. Singer, F. Ulmer, Galois groups of second and third order linear differential equations, J. Symbol Comput. 16 (1993) 1-36.
5. M.F. Singer, F. Ulmer, Liouvillian and algebraic solutions of second and third order linear differential equations, J. Symbol. Comput. 16 (1993) 37-73.
6. M.F. Singer, F. Ulmer, Necessary conditions for Liouvillian solutions of (third order) linear differential equations, Appl. Algebra Eng. Comm. Comput. 6 (1995) 1-22.