On the asymptotic solutions of a class of ordinary differential equations of the fourth order, with special reference to an equation of hydrodynamics
Author:
Rudolph E. Langer
Journal:
Trans. Amer. Math. Soc. 84 (1957), 144-191
MSC:
Primary 34.0X
DOI:
https://doi.org/10.1090/S0002-9947-1957-0083637-0
MathSciNet review:
0083637
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References | Similar Articles | Additional Information
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- Wolfgang Wasow, Asymptotic solution of the differential equation of hydrodynamic stability in a domain containing a transition point, Ann. of Math. (2) 58 (1953), 222â252. MR 61737, DOI https://doi.org/10.2307/1969787
- Wolfgang Wasow, On small disturbances of plane Couette flow, J. Research Nat. Bur. Standards 51 (1953), 195â202. MR 0059706
- D. Meksyn, Fluid motion between parallel planes. Dynamical stability, Proc. Roy. Soc. London Ser. A 186 (1946), 391â409. MR 17067, DOI https://doi.org/10.1098/rspa.1946.0051
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- Rudolph E. Langer, The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point, Trans. Amer. Math. Soc. 67 (1949), 461â490. MR 33420, DOI https://doi.org/10.1090/S0002-9947-1949-0033420-2
- Rudolph E. Langer, On the asymptotic forms of the solutions of ordinary linear differential equations of the third order in a region containing a turning point, Trans. Amer. Math. Soc. 80 (1955), 93â123. MR 73009, DOI https://doi.org/10.1090/S0002-9947-1955-0073009-5
- Rudolph E. Langer, The solutions of the differential equation $vââ+\lambda ^2zvâ+3\mu \lambda ^2v=0$, Duke Math. J. 22 (1955), 525â541. MR 73010
- Rudolph E. Langer, The solutions of a class of ordinary linear differential equations of the third order in a region containing a multiple turning point, Duke Math. J. 23 (1956), 93â110. MR 79684
- Rudolph E. Langer, On the construction of related differential equations, Trans. Amer. Math. Soc. 81 (1956), 394â410. MR 79159, DOI https://doi.org/10.1090/S0002-9947-1956-0079159-2
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Article copyright:
© Copyright 1957
American Mathematical Society