| 摘要: |
| 在由L分割的复平面是L围成的区域S+和由l+1个连通分支Si-(i=0,1,2,…,l)组成的开集S-情形下,求出边值问题√ψ+(t)=G(t)√ψ-(t)+g(t)的一般解为ψ(z)=∏(z)X(z)2(1/2πi∫L(g(t)dt)/(X+(t)√∏(t)(t-z))+Pλ(z))2. |
| 关键词: Riemann边值问题 指标 多连通区域 |
| DOI： |
| 投稿时间：2005-10-12 |
| 基金项目:广西自然科学基金(0249001)资助项目 |
|
| On Solution of a Kind of Riemann Boundary Value Problem With Squal Roots Under Jumping Curve |
|
LIU Zhi-wei
|
| (Guangxi Wuzhou Normal College, Hezhou, Guangxi, 542800, China) |
| Abstract: |
| In this paper, The general solution of analytic functions boundary value problem √ψ+ (t)=G (t)√ψ- (t)+g (t) is discussed when the complex plane is divided into a region S+ and an open set S- by many smooth closed contours and φ- (z) has a finite order a z=∞, the general solution:ψ (z)=∏ (z) X (z)2 (1/2πi∫L (g (t) dt)/ (X+ (t)√∏ (t) (t-z))+Pλ (z))2 of analytic functions boundary value problem √ψ+ (t)=G (t)√ψ- (t)+g (t) is given. |
| Key words: Riemann boundary value problem index order at infinity multiply connected region |
