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Asymptotic solutions of u iv+λ 2(zu″+αu′+βu)=0 for large ¦λ¦

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References

  1. Wasow, W.: A study of the solutions of the differential equation y (4)=λ 2(xy″+y)=0 for large values of λ. Ann. of Math. 52, 350–361 (1950).

    Google Scholar 

  2. Wasow, W.: Asymptotic solution of the differential equation of hydrodynamic stability in a domain containing a transition point. Ann. of Math. 58, 222–252 (1953).

    Google Scholar 

  3. Langer, R. E.: On the asymptotic solutions of a class of ordinary differential equations of the fourth order, with special reference to an equation of hydrodynamics. Trans. Amer. Math. Soc., 84, 144–191 (1957).

    Google Scholar 

  4. Langer, R. E.: The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point. Trans. Amer. Math. Soc. 67, 461–490 (1949).

    Google Scholar 

  5. Wasow, W.: The complex asymptotic theory of a fourth order differential equation of hydrodynamics. Ann. of Math. 49, 852–871 (1948).

    Google Scholar 

  6. Watson, G. N.: A Treatise on the Theory of Bessel Functions, second edit. Cambridge 1944.

  7. Langer, R. E.: The solutions of the differential equation v‴+λ 2 zv′+3μλ 2 v=0. Duke Math. Journ. 22, 525–541 (1955).

    Google Scholar 

  8. Copson, E. T.: Theory of Functions of a Complex Variable. Oxford 1935.

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Communicated by C. C. Lin

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Rabenstein, A.L. Asymptotic solutions of u iv+λ 2(zu″+αu′+βu)=0 for large ¦λ¦. Arch. Rational Mech. Anal. 1, 418–435 (1957). https://doi.org/10.1007/BF00298019

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