A complete expression of the asymptotic solution of differential equation with three-turning points |
| |
| Authors: | Zhang Juling Zhu Wenli |
| |
| Institution: | Sichuan Institute of Light Industry and Chemical Technology, Zigong 643003, P. R. China |
| |
| Abstract: | In this paper, a second order linear ordinary differential equation with three-turning points is studied. This equation is
as follows whereq
t
(x)=(x-μ
1)(x-μ
2)(x-μ
2)f(x),f(x)≠0,μ
<}μ
2 <μ
3, 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. |
| |
| Keywords: | JL function turning point asymptotic solution |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
| 点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文 |
![$$\frac{{d^2 y}}{{dx^2 }} + \left {\lambda ^2 q_1 (x) + \lambda q_2 (x,\lambda )} \right]\gamma = 0,$$](/content/LK475RV14762K698/10483_2006_Article_BF02459174_TeX2GIFE1.gif)