具有n阶转向点方程的渐近解的完全表达式

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A Complete Expression of the Axymptotic Solution of Differential Equation with a N-th Order Turnlng Point

摘要: 本文研究二阶线性常微分方程,使用广义Airy函数得到了方程在转向点附近形式一致有效渐近解的完全表达式。
- 一致有效的 /
- 渐近解 /
- 转向点
Abstract: A second order linear ordinary differential equation has been studied,and the complete expression.of the formal uniformly valid asymptotic solutions to the equation near turning point is obtained by using extended airy function.
- uniformly valid /
- asymptotic solution /
- turning point

[1]	张居铃,广义Airy函数与具有n个转向点的方程,应用数学和力学,12(9)(1991).
[2]	Nayfeh,A.H.Pertubation Methods,(1973).
[3]	Mckelvey.R.W.,The solutions of second order linear ordinary differential equations about a turning point of order two,Trans.Am.Math.Soc.,79 (1959),103-12s.
[4]	Moriguchi,H.,An improvement of the WKB method in the presence of turning points and the asymptotic solutions of 2 class of Hill equation,J.Phy.Soc.Japan,14 (1959),1711-1796.
[5]	Lynn,R.Y.and J.B.Keller,Uniform asymptotic solutions of second order lineardifferential equations with turning points,Comm.Pure Appl.Math.,(1970),23,379-408.

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