具有三个转向点方程渐近解的完全表达式

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

A Complete Expression of the Asymptotic Solution of Differential Equation With Three-Turning Points

Sichuan Institute of Light Industry and Chemical Technology, Zigong, Sichuan 643003, P R China

摘要: 本文研究二阶线性常微分方程,λ为大参数,即具有三个转向点的方程。而。本文使用JL函数得到方程在转向点附近形式一致有效渐近解的完全表达式。
- JL函数 /
- 转向点 /
- 渐近解
Abstract: In this paper,a second order linear ordinary differential equation with three-turning points is studied.This equation is as follows and λ is a large parameter,but . By using JL function,the complete expression of the formal uniformly valid asymptotic solutions of the equation near turning point is obtained.
- JL function /
- turning point /
- asymptotic solution

[1]	张居铃. 广义Airy函数与具有n个转向点的方程[J]. 应用数学和力学,1991,12(9):845～862.
[2]	张居铃. 具有n阶转向点方程的渐近解的完全表达式[J]. 应用数学和力学,1994,15(1):77～86.
[3]	Moriguchi H. An improvement of the WKB method in the presence of turning points and the asymptotic solutions of a class of Hill equation[J]. J Phy Soc Japan,1959,14(1):1711～1796.
[4]	Lynn R Y, Keller J B. Uniform asymptotic solutions of the second order linear differential equations with turning points[J]. Comm Pure Appl Math,1970,23(4):379～408.
[5]	Nayfeh A H. Perturbation Methods[M]. New York: John Wiley & Sons,1973.