The general solution of an ordinary differential equation

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The general solution of an ordinary differential equation

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1996 international symposium on Symbolic and algebraic computation table of contents

Zurich, Switzerland

Pages: 189 - 195

Year of Publication: 1996

ISBN:0-89791-796-0

Author

Evelyne Hubert

LMC-IMAG, Grenoble

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 3, Downloads (12 Months): 22, Citation Count: 4

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	Thomas Becker , Volker Weispfenning , Heinz Kredel, Gro¨bner bases: a computational approach to commutative algebra, Springer-Verlag, London, 1993
	2	BOULIER, F. Etude et implantation de Quelques Algorithmes en algbre diffrentielle. PhD thesis, Universit de Lille, 1994.
	3	F. Boulier , D. Lazard , F. Ollivier , M. Petitot, Representation for the radical of a finitely generated differential ideal, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.158-166, July 10-12, 1995, Montreal, Quebec, Canada [doi>10.1145/220346.220367]
	4	COHN, R. The general solution of a first order differential polynomial. Proceedings of the American Mathemat~cal Society 55, 1 (1976), 14-16.
	5	Cox, D., LITTLE, J., AND O'SHEA, D.. Ideals, Varieties, and Algorithms. Springer-Verlag, 1992.
	6	Patrizia Gianni , Barry Trager , Gail Zacharias, Gro¨bner bases and primary decomposition of polynomial ideals, Journal of Symbolic Computation, v.6 n.2-3, p.149-167, Oct./Dec. 1988 [doi>10.1016/S0747-7171(88)80040-3]
	7	HUBERT, E. Equations differentielles scalaires - solution gnrale et solutions singulires. Tech. rep., LMC - IMAG, 1995.
	8	INCE, E. Ordinary Differential Equations. Dover Publications, Inc., 1956.
	9	KAPLANSKY, I. An Introduction to Differential Algebra. Hermann, 1970.
	10	KOLCHIN, E. Differential Algebra and Algebraic Groups, vol. 54 of Pure and Applied Mathematics. Academic Press, 1973.
	11	RITT, J. On the singular solutions of algebraic differential equations. Annals of Mathematics 37, 3 (1936), 552-617.
	12	aIWW, J. Differential Algebra. Dover Publications, Inc, 1966.
	13	SEIDENBERG, A. Abstract differential algebra and the analytic case. Proceedings of the American Mathematical Society 9 (1958), 159-164.
	14	TOURNIER, E. Solutions FormeUes d'Equations Diffdrentielles. PhD thesis, IMAG, Grenoble, 1987.
	15	WEIL, J.-A. Constantes et Polynmes de Darboux en Alg~bre DiffdrentieUe : Application aux Syst~mes Diffdrentiels Lindaires. PhD thesis, GAGE-Ecole Polytechnique, 1995.

CITED BY 4

	C. J. Rust , G. J. Reid , A. D. Wittkopf, Existence and uniqueness theorems for formal power series solutions of analytic differential systems, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.105-112, July 28-31, 1999, Vancouver, British Columbia, Canada
	Johannes Grabmeier , Erich Kaltofen , Volker Weispfenning, Cited References, Computer algebra handbook, Springer-Verlag New York, Inc., New York, NY, 2003
	Ruyong Feng , Xiao-shan Gao, Rational general solutions of algebraic ordinary differential equations, Proceedings of the 2004 international symposium on Symbolic and algebraic computation, p.155-162, July 04-07, 2004, Santander, Spain
	J. M. Aroca , J. Cano , R. Feng , X. S. Gao, Algebraic general solutions of algebraic ordinary differential equations, Proceedings of the 2005 international symposium on Symbolic and algebraic computation, p.29-36, July 24-27, 2005, Beijing, China