during the analysis of a problem in my phd thesis
I have resulted in the following equation.
which is clearly a homogeneous Fredholm equation of the second kind
The problem is that I can't find in any text any way of solving it.
Solutions are provided only for special cases like when the kernel K
or when it is separable which are both not my case.
The particular form of the equation I am dealing with is
where is symmetric and depends only in the difference x-t, , and g(x) a known function involving logarithm.
Any ideas of how to deal with this kind of form?
Thank you in advance