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Convergence of formal power series solutions of a system of nonlinear differential equations at an irregular singular point

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Part of the Lecture Notes in Mathematics book series (LNM,volume 810)

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References

  1. R. Gérard and Y. Sibuya, Étude de certains systèmes de Pfaff au voisinage d'une singularité, C.R. Acad. Sc. Paris, 284 (1977) 57–60.

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  2. R. Gérard and Y. Sibuya, Étude de certains systèmes de Pfaff avec singularités, Séries de Math. pures et appl., IRMA, Strasbourg, 1978.

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  3. W.A. Harris, Jr., Holomorphic solutions of nonlinear differential equations at singular points, SIAM Studies in Applied Math., 5 (1969) 184–187.

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  4. W.A. Harris, Jr., Y. Sibuya and L. Weinberg, Holomorphic solutions of linear differential systems at singular points, Arch. for Rat. Mech. and Anal., 35 (1969) 245–248.

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  5. Y. Sibuya, Convergence of power series solutions of a linear Pfaffian system at an irregular singularity, Keio Engineering Reports, 31 (1978), No. 7, 79–86.

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  6. Y. Sibuya, A linear Pfaffian system at an irregular singularity, to appear in Tôhoku Math. J..

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© 1980 Springer-Verlag

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Sibuya, Y. (1980). Convergence of formal power series solutions of a system of nonlinear differential equations at an irregular singular point. In: Martini, R. (eds) Geometrical Approaches to Differential Equations. Lecture Notes in Mathematics, vol 810. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089978

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  • DOI: https://doi.org/10.1007/BFb0089978

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  • Publisher Name: Springer, Berlin, Heidelberg

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