I'm trying to solve this form of Fredholm equation:
$$ g(v)=f(v)+\int\limits_{0}^{a} g(v_s)K(v,v_s)\mathrm{d} v_s, $$ where,
- $f, K$ is a given function
- $K(v,v_s)=K_1(v-bv_s)+K_2(v+bv_s)$, where $b$ is a constant
Are there any methods or theorems that can solve this problem?
I know it is solvable when $K(v,v_s)=K(v-v_s)$, but it seems very hard to solve it when $K(v,v_s)=K_1(v-bv_s)+K_2(v+bv_s)$.
I would appreciate any hint or advises. Thank you.