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Asymptotic solution with respect to a parameter of a differential equation having an irregular singular point


Author: Nicholas D. Kazarinoff
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
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References [Enhancements On Off] (What's this?)

  • [1] 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.
  • [2] 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.
  • [3] N. D. Kazarinoff and R. W. McKelvey, Asymptotic solution of differential equations in a domain containing a regular singular point, Canadian Journal of Mathematics vol. 8 (1956). MR 0075370 (17:736b)
  • [4] R. E. Langer, On the asymptotic solution of differential equations, with reference to the Stokes' phenomenon about a singular point, Trans. Amer. Math. Soc. vol. 37 (1935) pp. 397-416. MR 1501793

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DOI: https://doi.org/10.1090/S0002-9939-1956-0075371-2
Article copyright: © Copyright 1956 American Mathematical Society

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