On Existence and Uniqueness of Formal Power Series Solutions of Algebraic Ordinary Differential Equations

Author:

Falkensteiner Sebastian,Zhang Yi,Vo Thieu N.ORCID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference24 articles.

1. Aschenbrenner, M., Van den Dries, L., van der Hoeven, J.: Asymptotic Differential Algebra and Model Theory of Transseries, vol. 358. Princeton University Press, Princeton (2017)

2. Bostan, A., Chyzak, F., Ollivier, F., Salvy, B., Schost, E.: A Sedoglavic. Fast computation of power series solutions of systems of differential equations. In: Proceedings of the 18th ACM-SIAM Symposium on Discrete Algorithms, pp. 1012–1021, New Orleans, Louisiana, USA (2007)

3. Brent, R.P., Kung, H.T.: Fast algorithms for manipulating formal power series. J. ACM 25, 581–595 (1978)

4. Briot, C.A., Bouquet, J.C.: Propriétés des fonctions définies par des équations différentielles. Journal de l’Ecole Polytechnique 36, 133–198 (1856)

5. Bruno, A.D.: Power Geometry in Algebraic and Differential Equations. Elsevier, Amsterdam (2000)

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