Asymptotic solution with respect to a parameter of a differential equation having an irregular singular point
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- by Nicholas D. Kazarinoff PDF
- Proc. Amer. Math. Soc. 7 (1956), 62-69 Request permission
References
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G. D. Birkhoff, On the asymptotic character of the solution of certain differential equations containing a parameter, Trans. Amer. Math. Soc. vol. 9 (1908) pp. 214-231.
C. C. Hurd, Asymptotic theory of linear differential equations singular in the variable of differentiation and in a parameter, Tôhoku Math. J. vol. 44 (1938) pp. 243-274.
- N. D. Kazarinoff and R. McKelvey, Asymptotic solution of differential equations in a domain containing a regular singular point, Canadian J. Math. 8 (1956), 97–104. MR 75370, DOI 10.4153/CJM-1956-015-6
- Rudolph E. Langer, On the asymptotic solutions of ordinary differential equations, with reference to the Stokes’ phenomenon about a singular point, Trans. Amer. Math. Soc. 37 (1935), no. 3, 397–416. MR 1501793, DOI 10.1090/S0002-9947-1935-1501793-7
Additional Information
- © Copyright 1956 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 7 (1956), 62-69
- MSC: Primary 34.0X
- DOI: https://doi.org/10.1090/S0002-9939-1956-0075371-2
- MathSciNet review: 0075371