# An application of newton iteration procedure to $p$-adic differential equations

Groupe de travail d'analyse ultramétrique (1979-1981)

- Volume: 7-8, page 1-10

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topSibuya, Yasutaka. "An application of newton iteration procedure to $p$-adic differential equations." Groupe de travail d'analyse ultramétrique 7-8 (1979-1981): 1-10. <http://eudml.org/doc/91859>.

@article{Sibuya1979-1981,

author = {Sibuya, Yasutaka},

journal = {Groupe de travail d'analyse ultramétrique},

keywords = {Newton iteration; p-adic differential equations; ultrametric field; factorization of linear differential operators; non-linear differential equation},

language = {eng},

pages = {1-10},

publisher = {Secrétariat mathématique},

title = {An application of newton iteration procedure to $p$-adic differential equations},

url = {http://eudml.org/doc/91859},

volume = {7-8},

year = {1979-1981},

}

TY - JOUR

AU - Sibuya, Yasutaka

TI - An application of newton iteration procedure to $p$-adic differential equations

JO - Groupe de travail d'analyse ultramétrique

PY - 1979-1981

PB - Secrétariat mathématique

VL - 7-8

SP - 1

EP - 10

LA - eng

KW - Newton iteration; p-adic differential equations; ultrametric field; factorization of linear differential operators; non-linear differential equation

UR - http://eudml.org/doc/91859

ER -

## References

top- [1] Dwork ( B.). - On the zeta fonction of a hypersurface. - Paris, Presses universitaires de France, 1962 (Institut des Hautes Etudes Scientifiques, Publications mathématiques, 12, p. 5-68). Zbl0173.48601MR159823
- [2] Sibuya ( Y.) and Sperber ( S.). - Convergence of power séries solutions of p-adic non-linear differential equations, "Proceedings of the conférence on recent advances in differential equations" [1978. Triestre] (to appear). Zbl0602.12009
- [3] Sibuya ( Y.) and Sperber ( S.). - Arithmetic properties of power series solutions of algebraic differential equations, Annals of Math. (to appear). Zbl0492.12012MR604044
- [4] Sibuya ( Y.) and Sperber ( S.). - Arithmetic properties of power sories solutions of algebraic differential equations, Publications de l'IRMA de l'université de Strasbourg (in preparation).
- [5] Sibuya ( Y.) and Sperber ( S.). - Arithmetic properties of power series solutions of algebraic differential equations, "Proceedings of an advanced seminar on singular perturbations and asymptotics" [1980. Madison] (to appear). Zbl0515.34013MR604044

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