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Math Help - Integral equations #3

  1. #1
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    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}
    Last edited by mr fantastic; July 13th 2010 at 04:16 AM. Reason: Edited title.
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  2. #2
    Super Member Rebesques's Avatar
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    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.
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