对于自由项为三角函数的一类Fredholm型积分方程,积分核具有对数弱奇异性,本文展开三角函数为级数,推得了该类积分方程的精确解,并且对解在其定义域端点处的奇异性质进行了讨论分析.
For a type of Fredholm integral equation with weak singularity integral kernel of logarithm function, the exact solutions is deduced through a calculus procedure when the free term is a triangle function. The singular character of solution is also analyzed when the variable is approaching the extreme points.