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Math Help - Solving a convolution equation: two solutions, which one is correct?

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    Solving a convolution equation: two solutions, which one is correct?

    Hi All,

    Here is my problem:

    Considering the following equation,

    Ur(t)*G(t)=A

    - Ur(t) is what we are looking for and is =0 for all t<0
    - * is a convolution
    - G(t) = 1/Q1 + (P1/Q2-1/Q1)exp(-Q1.t/Q2) for t>=0 (Q1, Q2 and P1 are constants) and G(t)=0 for all t<0
    - A is a constant

    I derived a solution using the Laplace Transform and also found a way to get a solution through a derivation in the time domain using the Stieltjes integrals . Both derivations are in the .doc attached

    The issue is that the two solutions are different and I don't know why...
    Which one is correct if any?

    Thanks for your help or ideas,

    MatNorge
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