拓广参数值后线性积分方程简明解法

Concise Solution of Linear Integral Equation after Extending the Scope of Parameter

拓广线性积分方程φ(x)=f(x)+λ∫bak(x,t)φ(t)dt中参数λ的取值后,方程仍有唯一解,且当k(x,t)可以分离为两函数H(x)与G(t)之积时,该方程解的一般形式为:φ(x)=f(x)+aH(x)(α为常数)。

The linear integral equation φ（x）=f（x）＋λ∫a^bk（x,t）φ（t）dt has its unique solution after the extension of the scope of parameter λ, and if separate the function k（x, t）into the products of function H（x） and G（t）,the general solution form of the equation is φ（x）-f（x）＋aH（x）, （a is a constant）.