一类非线性积分方程再生核空间中的线性化求解

The linear methods for solving a group of nonlinevr integral equtions in reproducting kemel space

笔者在文中利用再生核将非线性积分方程转化为线性积分方程求解,得到了此类方程解的结构,解决了解的存在性等问题.

In this paper, we use the reproducting kernel Method to transform nonlinear integral equation into a 2-dimension linear integral equation for solving. We give also the factorization method and the characteristic value Method to solve this nonlinear integal egnation.