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一类含多个核的非线性奇异积分方程
引用本文:李正吾. 一类含多个核的非线性奇异积分方程[J]. 桂林工学院学报, 1989, 0(3)
作者姓名:李正吾
作者单位:桂林冶金地质学院
摘    要:通过适当变换,将一类含多个核的非线性奇异积分方程归结为一个与之等价的积分方程组,组中的每个方程仅含一个核。于是通过研究方程组来讨论原方程的诸多可解性问题,例如给出解的存在和唯一性定理。

关 键 词:非线性积分方程  奇异积分方程  

ON THE NON-LINEAR SINGULAR INTEGRAL EQUATION WITH SEVRRAL KERNELS
Li Zhengwu Guilin College of Geology. ON THE NON-LINEAR SINGULAR INTEGRAL EQUATION WITH SEVRRAL KERNELS[J]. Journal of Guilin University of Technology, 1989, 0(3)
Authors:Li Zhengwu Guilin College of Geology
Affiliation:Li Zhengwu Guilin College of Geology
Abstract:Through a certain transformation, the non-linear singular integral equa-tion with several kernels can be incorporated into a certain system of inte-gral equations, in each of which there is only one integral kernel. So,discussing the integral equation can be turned into discussing a certainsystem of integral equations.
Keywords:non-linear integral equation  singular integral equation  kernel
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