| 二类具有反射的卷积型奇异积分方程 |
| |
| 引用本文： | 李平润,王明辉.二类具有反射的卷积型奇异积分方程[J].吉林林学院学报,2009(1):18-22. |
| |
| 作者姓名： | 李平润 王明辉 |
| |
| 作者单位： | 曲阜师范大学数学科学学院,山东曲阜273165 |
| |
| 基金项目： | 国家自然科学基金项目（10771073）. |
| |
| 摘 要： | 提出并讨论了二类既含有Cauchy核又含有反射的卷积型方程，利用Fourier变换将其转化为具有反射的间断系数的Riemann边值问题，按照经典的Riemann边值问题的解法，得到了方程在{0}类中的一般解与可解条件．
|
| 关 键 词： | 卷积型奇异积分方程 Riemann边值问题 Cauchy核 反射 |
Two Classes of Singular Convolution Type Integral Equations of with Reflection |
| |
| Authors: | LI Ping-run WANG Ming-hui |
| |
| Institution: | ＇ ( Mathematics Science College of Qufu Normal University, Qufu 273165, China ) |
| |
| Abstract: | Two classes of singular equations of convolution type with Cauchy kernel and reflection will be set up and discussed. By using theories of Fourier transform, transferring these two classes of eqations into Riemann boundary value problems with discontinuous coefficient and reflection. According to the method of solution classical Riemann boundary value problem, the general solution and condition of solvability in class {0} are obtained respectively. |
| |
| Keywords: | Singular integral equation of convolution type Riemann boundary value problem Cauchy kernel Reflection |
| 本文献已被 维普 等数据库收录！ |
