Does any one know any bounded integral operator?
To put it in another way, I am given the following equation
$$ \int_{a}^{b} f(x,y) X(y) dy = b(x) $$
where $f(x,y)$ and $b(x)$ are known.
- What conditions do I need in order to have a unique solution for $X(y)$?
- How can I find $X(x)$?
Thank you