# Integral equations #3

• Jul 12th 2010, 10:58 PM
raed
Integral equations #3
Hi all,

I need the solution of the following exercise:

Solve the integral equation
$g(s)= 1 + \lambda \int^\Pi_{- \Pi} \exp(i\omega(s-t)) g(t) dt$
considering separately all the exceptional cases
note: $i=\sqrt{-1}$
• Sep 15th 2010, 10:58 AM
Rebesques
Well... The unknown function g will satisfy a certain ODE along with appropriate boundary conditions.
The cases for $\lambda,\omega$ will yield different solutions... I think all this must be in your classroom notes, somewhere.