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 | Similar Articles | Additional Information

**[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