A Uniform Asymptotic Turning Point Theory for Second Order Linear Ordinary Differential Equations
- 1 February 1972
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 31 (2) , 489-494
- https://doi.org/10.2307/2037559
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.Keywords
This publication has 3 references indexed in Scilit:
- Uniform asymptotic solutions of second order linear ordinary differential equations with turning pointsCommunications on Pure and Applied Mathematics, 1970
- Uniform Asymptotic Formulae for Functions with Transition PointsTransactions of the American Mathematical Society, 1950
- The Asymptotic Solutions of Ordinary Linear Differential Equations of the Second Order, With Special Reference to a Turning PointTransactions of the American Mathematical Society, 1949