Hi all,

I need the solution of the following exercise:

Solve the integral equation

$\displaystyle g(s)= 1 + \lambda \int^\Pi_{- \Pi} \exp(i\omega(s-t)) g(t) dt$

considering separately all the exceptional cases

note: $\displaystyle i=\sqrt{-1}$

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- Jul 12th 2010, 10:58 PMraedIntegral equations #3
Hi all,

I need the solution of the following exercise:

Solve the integral equation

$\displaystyle g(s)= 1 + \lambda \int^\Pi_{- \Pi} \exp(i\omega(s-t)) g(t) dt$

considering separately all the exceptional cases

note: $\displaystyle i=\sqrt{-1}$ - Sep 15th 2010, 10:58 AMRebesques
Well... The unknown function g will satisfy a certain ODE along with appropriate boundary conditions.

The cases for $\displaystyle \lambda,\omega$ will yield different solutions... I think all this must be in your classroom notes, somewhere.