# Integral equation

1. Feb 24, 2004

### eljose79

i am trying to solve the integral equation

g(x)=Int(0,infinite)f(t)st/exp(st)-1)) the Kernel is

K(s,t)=st/(exp(st)-1) so K(s,t)=K(t,s) is symmetric..so their eigenfunctions will be orthogonal and their eignevalues real..but i do not kow if f(t) belongs to L**2 so we could i solve it using a series of eigenfunctions?...thanks.

what otgher method to approach the solutions are known?..

2. Feb 24, 2004

### matt grime

1. the left hand side is a function of x. there is no x on the righthand side
2. what is the integral with respect to? ds, dt, d(st)?