On an analytic simplification of a system of linear ordinary differential equations containing a parameter
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- by Po-fang Hsieh PDF
- Proc. Amer. Math. Soc. 19 (1968), 1201-1206 Request permission
References
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G. D. Birkhoff, “A theorem on matrices of analytic functions” pp. 240-251 in Collected mathematical papers, Vol. I, Amer. Math. Soc., Providence, R. I., 1950.
—, “Equivalent singular points of ordinary differential equations,” pp. 252-257 in Collected mathematical papers, Vol. I, Amer. Math. Soc., Providence, R.I., 1950.
- Yasutaka Sibuya, Sur réduction analytique d’un système d’équations différentielles ordinaires linéaires contentant un paramètre, J. Fac. Sci. Univ. Tokyo Sect. I 7 (1958), 527–540 (French). MR 96016 —, On the convergence of formal solutions of systems of linear ordinary differential equations containing a parameter, MRC Tech. Sum. Report #511, September, 1964.
- H. L. Turrittin, Reduction of ordinary differential equations to the Birkhoff canonical form, Trans. Amer. Math. Soc. 107 (1963), 485–507. MR 150367, DOI 10.1090/S0002-9947-1963-0150367-9
- Wolfgang Wasow, Asymptotic expansions for ordinary differential equations, Pure and Applied Mathematics, Vol. XIV, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1965. MR 0203188
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1201-1206
- MSC: Primary 34.10
- DOI: https://doi.org/10.1090/S0002-9939-1968-0232987-6
- MathSciNet review: 0232987