Bulletin of the American Mathematical Society

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Book Information:

Author: 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.

R. C. Ackerberg and R. E. O’Malley Jr., Boundary layer problems exhibiting resonance, Studies in Appl. Math. 49 (1970), 277–295. MR 269940, DOI 10.1002/sapm1970493277

2.

G. B. Airy, On the intensity of light in the neighborhood of a caustic, Trans. Cambridge Philos. Soc. 6 (1838), 379-402.

V. I. Arnol′d, On matrices depending on parameters, Uspehi Mat. Nauk 26 (1971), no. 2(158), 101–114 (Russian). MR 0301242

V. I. Arnol′d, Dopolnitel′nye glavy teorii obyknovennykh differentsial′nykh uravneniĭ, “Nauka”, Moscow, 1978 (Russian). MR 526218

M. A. Evgrafov and M. V. Fedorjuk, Asymptotic behavior of solutions of the equation $w^{\prime \prime }(z)-p(z,\,\lambda )w(z)=0$ as $\lambda \rightarrow \infty$ in the complex $z$-plane, Uspehi Mat. Nauk 21 (1966), no. 1 (127), 3–50 (Russian). MR 0209562

6.

R. Gans, Fortpflanzung des Lichts durch ein inhomogenes Medium, Ann. Phys. 47 (1915), 709-736.

Brian D. Hassard, Nicholas D. Kazarinoff, and Yieh Hei Wan, Theory and applications of Hopf bifurcation, London Mathematical Society Lecture Note Series, vol. 41, Cambridge University Press, Cambridge-New York, 1981. MR 603442

Rudolph E. Langer, On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order, Trans. Amer. Math. Soc. 34 (1932), no. 3, 447–480. MR 1501648, DOI 10.1090/S0002-9947-1932-1501648-5

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.

C. C. Lin, The theory of hydrodynamic stability, Cambridge University Press, New York, 1966. Corrected reprinting. MR 0200014

Yasutaka Sibuya, Global theory of a second order linear ordinary differential equation with a polynomial coefficient, North-Holland Mathematics Studies, Vol. 18, North-Holland Publishing Co., Amsterdam-Oxford; American Elsevier Publishing Co., Inc., New York, 1975. MR 0486867

12.

W. Wasow, Asymptotic expansions for ordinary differential equations, Interscience Publ., New York, 1965.

1.

R. C. Ackerberg and R. E. O'Malley, Boundary layer problems exhibiting resonance, Studies in Appl. Math. 49(1970), 277-295. MR 0269940

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.