Solving a Fredholm equation

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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.