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。
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.
关键词
非线性
奇异积分方程
积分方程
核
non-linear integral equation
singular integral equation
kernel
