A uniform asymptotic turning point theory for second order linear ordinary differential equations
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- by Erich Zauderer PDF
- Proc. Amer. Math. Soc. 31 (1972), 489-494 Request permission
Abstract:
The method of Cherry for obtaining uniform asymptotic solutions for a second order linear ordinary differential equation with a single turning point of first order is formally extended to the case where the equation has an arbitrary number of turning points of various orders. This follows a recent extension by Lynn and Keller of Langer’s method to deal with the aforementioned more general problem.References
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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), 461–490. MR 33420, DOI 10.1090/S0002-9947-1949-0033420-2
- Roger Yen Shen Lynn and Joseph B. Keller, Uniform asymptotic solutions of second order linear ordinary differential equations with turning points, Comm. Pure Appl. Math. 23 (1970), 379–408. MR 261100, DOI 10.1002/cpa.3160230310
- Wolfgang Wasow, Asymptotic expansions for ordinary differential equations, Pure and Applied Mathematics, Vol. XIV, Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1965. MR 0203188
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 489-494
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288365-8
- MathSciNet review: 0288365