|
|
Ordinary Differential Equations
34Xxx
| [1] |
Philip Boalch.
Some explicit solutions to the Riemann-Hilbert problem.
arXiv:math/0501464 v2, 24 pages, 2005. |
| [2] |
Philip Boalch.
Higher genus icosahedral Painlevé curves.
Funk. Ekvac. (Kobe),, 50:19–32, 2007. |
| [3] |
A. Bostan, F. Chyzak, F. Ollivier, B. Salvy, É. Schost, and A. Sedoglavic.
Fast computation of power series solutions of systems of differential
equations.
In SODA '07: Proceedings of the Eighteenth Annual ACM-SIAM
Symposium on Discrete Algorithms, pages 1012–1021, Philadelphia, PA, USA,
2007. Society for Industrial and Applied Mathematics. |
| [4] |
Alin Bostan, Thomas Cluzeau, and Bruno Salvy.
Fast algorithms for polynomial solutions of linear differential
equations.
In ISSAC'05: Proceedings of the 2005 International Symposium on
Symbolic and Algebraic Computation, pages 45–52 (electronic). ACM, New
York, 2005. |
| [5] |
Delphine Boucher, Philippe Gaillard, and Felix Ulmer.
Fourth order linear differential equations with imprimitive group.
In ISSAC '03: Proceedings of the 2003 International Symposium on
Symbolic and Algebraic Computation, pages 45–49 (electronic), New York,
2003. ACM. |
| [6] |
Olivier Cormier.
On Liouvillian solutions of linear differential equations of order
4 and 5.
In ISSAC '01: Proceedings of the 2001 International Symposium on
Symbolic and Algebraic Computation, pages 93–100 (electronic), New York,
2001. ACM. |
| [7] |
Christopher M. Cosgrove.
Chazy classes IX–XI of third-order differential equations.
Stud. Appl. Math., 104(3):171–228, 2000. |
| [8] |
Freddy Dumortier, Jaume Llibre, and Joan C. Artés.
Qualitative Theory of Planar Differential Systems.
Universitext. Springer-Verlag, Berlin, 2006. |
| [9] |
Chris M. Field and Chris M. Ormerod.
An ultradiscrete matrix version of the fourth Painlevé equation.
Adv. Difference Equ., pages Art. ID 96752, 14, 2007. |
| [10] |
Jaume Giné and Xavier Santallusia.
Implementation of a new algorithm of computation of the
Poincaré-Liapunov constants.
J. Comput. Appl. Math., 166(2):465–476, 2004. |
| [11] |
Sabrina A. Hessinger.
Computing the Galois group of a linear differential equation of
order four.
Appl. Algebra Engrg. Comm. Comput., 11(6):489–536, 2001. |
| [12] |
Sonja Lauer.
Entwurf von Algorithmen zur Konstruktion von
Differentialgleichungen mit vorgegebener endlicher Galoisgruppe.
Diplomarbeit, Universität Karlsruhe, 2005. |
| [13] |
Sonja Lauer.
Entwurf von Algorithmen zur Konstruktion von
Differentialgleichungen mit vorgegebener endlicher Galoisgruppe.
PhD thesis, Institut für Algorithmen und Kognitive Systeme,
Universität Karlsruhe, 2006. |
| [14] |
Stefan Măruşter, Viorel Negru, Dana Petcu, and Călin Sandru.
Intelligent front-end for solving differential and non-linear
equations systems.
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov.
(POMI), 258(Teor. Predst. Din. Sist. Komb. i Algoritm. Metody. 4):318–334,
361, 1999. |
| [15] |
Michael F. Singer.
Testing reducibility of linear differential operators: A
group-theoretic perspective.
Appl. Algebra Engrg. Comm. Comput., 7(2):77–104, 1996. |
| [16] |
Michael F. Singer and Felix Ulmer.
Necessary conditions for Liouvillian solutions of (third order)
linear differential equations.
Appl. Algebra Engrg. Comm. Comput., 6(1):1–22, 1995. |
| [17] |
Felix Ulmer.
Liouvillian solutions of third order differential equations.
J. Symbolic Comput., 36(6):855–889, 2003. |
|
