第一类非线性奇异积分方程的迭代解法

讨论了密度是关于未知函数的幂、带有柯西核的第一类非线性奇异积分方程. 提出了一种迭代解法，把非线性问题归结为线性问题，实现解的条件容易满足.

The Iterative Solution of the First Kind Nonlinear Bizarre Integral Equation

On the consideration that a continuous function can be approached by a polynomial, the result that the density is the power of the unbeknown function and is the first kind nonlinear bizarre integral equation with Cauchy core is studied and a kind of iterative solution is put forward. The nonlinear problem is converted to a linear problem and the solution conditions are easy to be satisfied.