| 一类含Hilbert核非线性奇异积分方程的解法 |
| |
| 引用本文： | 钟寿国,张如权. 一类含Hilbert核非线性奇异积分方程的解法[J]. 武汉大学学报(理学版), 2006, 52(3): 257-261 |
| |
| 作者姓名： | 钟寿国 张如权 |
| |
| 作者单位： | 武汉大学,数学与统计学院,湖北,武汉,430072 |
| |
| 摘 要： | 首先提出在封闭光滑曲线上一类带平方根的周期Riemann问题并给出解和可解条件，然后将一类含Hilbert核非线性奇异积分方程转化为前者，得到封闭解及可解条件．作为本文特殊现象讨论了因Hilbert核积分性质所产生的附加条件的作用．
|
| 关 键 词： | 非线性 周期Riemann边值问题 奇异积分方程 附加条件 |
| 文章编号： | 1671-8836(2006)03-0257-05 |
| 修稿时间： | 2005-12-18 |
On the Method of Solution for a Kind of Nonlinear Singular Integral Equation with Hilbert Kernel |
| |
| ZHONG Shouguo,ZHANG Ruquan. On the Method of Solution for a Kind of Nonlinear Singular Integral Equation with Hilbert Kernel[J]. JOurnal of Wuhan University:Natural Science Edition, 2006, 52(3): 257-261 |
| |
| Authors: | ZHONG Shouguo ZHANG Ruquan |
| |
| Abstract: | A kind of periodic Riemann boundary value problem with square roots on smooth closed contour is posed and its solution and solvable conditions are given.Then,a kind of nonlinear singular integral equation with Hilbert kernel is transformed to the former whose solution in closed form as well as its condition of solvability is obtained.For a special phenomenon in this paper,the cause and the actions of the additional conditions produced by properties of integral with Hilbert kernel are discussed. |
| |
| Keywords: | nonlinear periodic Riemann boundary value problem singular integral equation additional condition |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
