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On matching methods in turning point problems. (English) Zbl 0142.34404


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[1] IWANO, M., AND Y. SIBUYA, Reduction of the order of a linear ordinary differ-ential equation containing a small parameter. Kdai Math. Sem. Rep. 15 (1963), 1-28. · Zbl 0115.07001 · doi:10.2996/kmj/1138844728
[2] SIBUYA, Y., Asymptotic solutions of a system of linear ordinary differential equations containing a parameter. Funkcialaj Ekvacioj 4 (1962), 83-113. · Zbl 0123.04902
[3] LANGER, R. E., The asymptotic solutions of linear ordinary differential equation of the second order, with special reference to a turning point. Trans. Amer. Math. Soc. 67 (1949), 461-490. · Zbl 0041.05901 · doi:10.2307/1990486
[4] MCKELVEY, R. W., The solutions of second order linear differential equatio about a turning point of order two. Trans. Amer. Math. Soc. 79 (1955), 103-123. · Zbl 0065.31801 · doi:10.2307/1992839
[5] TURRITTIN, H. L., Stokes multipliers for asymptotic solutions of a certain differential equation. Trans. Amer. Math. Soc. 68 (1950), 304-329. · Zbl 0037.06505 · doi:10.2307/1990447
[6] WASOW, W., Turning point problems for system of linear differential equations Part 1: The formal theory. Commun. Pure and App. Math. 14 (1961), 657-673. · Zbl 0106.29301 · doi:10.1002/cpa.3160140336
[7] WASOW, W., Turning point problems for systems of linear differential equations Part II: The analytic theory. Commun. Pure and App. Math. 15 (1962), 173-187. · Zbl 0142.34403 · doi:10.1002/cpa.3160150206
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