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Book Review
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Book Information
Author(s):
Wolfgang Wasow
Title:
Linear turning point theory
Additional book information:
Applied Mathematical Sciences, vol. 54, Springer-Verlag, New York, Berlin, Heidelberg and Tokyo, 1985, ix + 246 pp., $38.00. ISBN 0-387-96046-5
References:
- 1.
- R. C. Ackerberg and R. E. O'Malley, Boundary layer problems exhibiting resonance, Studies in Appl. Math. 49(1970), 277-295. MR 269940
- 2.
- G. B. Airy, On the intensity of light in the neighborhood of a caustic, Trans. Cambridge Philos. Soc. 6 (1838), 379-402.
- 3.
- V. I. Arnol'd, On matrices depending on parameters, Uspehi Mat. Nauk 26, No. 2(1971), 101-114; English transl. in Russian Math. Surveys 26, No. 2(1971), 29-43. MR 301242
- 4.
- V. I. Arnol'd, Supplementary chapters of the theory of ordinary differential equations, "Nauka", Moscow, 1978, 304 pp. (Russian) MR 526218
- 5.
- M. A. Evgrafov and M. V. Fëdoryuk, Asymptotic behavior as λ → 0 of the solution of the equation w"(z) - p(z, λ)w(z) = 0 in the complex z-plane, Uspehi Mat. Nauk 21, No. 1 (127) (1966), 3-50. English transl. in Russian Math. Surveys 21 (1966), 1-48. MR 209562
- 6.
- R. Gans, Fortpflanzung des Lichts durch ein inhomogenes Medium, Ann. Phys. 47 (1915), 709-736.
- 7.
- B. D. Hassard, N. D. Kazarinoff and Y.-H. Wan, Theory and applications of Hopf bifurcation, London Math. Soc. Lecture Series, No. 41, Cambridge Univ. Press, Cambridge, London, New York, 1981. MR 603442
- 8.
- R. E. Langer, On the asymptotic solutions of ordinary differential equations with an application to the Bessel functions of large complex order, Trans. Amer. Math. Soc. 34 (1932), 447-480. MR 1501648
- 9.
- R. E. Langer, The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to the Stokes phenomenon, Bull. Amer. Math. Soc. 40 (1934), 545-582.
- 10.
- C. C. Lin, The theory of hydrodynamic stability, Cambridge Univ. Press, Cambridge, 1966. MR 200014
- 11.
- Y. Sibuya, Global theory of a second order linear differential equation with a polynomial coefficient, North-Holland Math. Studies no. 18, North-Holland-American Elsevier Publ. Co., Amsterdam-New York, 1975. MR 486867
- 12.
- W. Wasow, Asymptotic expansions for ordinary differential equations, Interscience Publ., New York, 1965.
Additional Information:
Reviewer(s):
Nicholas D.
Kazarinoff
Review Information:
Journal:
Bull. Amer. Math. Soc.
15
(1986),
252-254.
DOI:
10.1090/S0273-0979-1986-15496-0
PII:
S 0273-0979(1986)15496-0
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