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System of nonlinear integral equations

  1. Dec 11, 2012 #1
    Hello everybody!

    While solving some physical problem I got stuck with some system of integral equations.
    The problem is formulated in .pdf file below.

    I will be over-satisfied with the following
    1) to know whether and why this system has/doesn't have a solution
    2) how it could be produced approximately
    3) if there are any methods for exact solution of equations of such a type, perhaps with other V(k)

    View attachment 11111.pdf

    ANY comments are highly welcome!
  2. jcsd
  3. Dec 12, 2012 #2
    I tried two iteration methods but perturbations seem to be divergent. Perhaps any regularization ideas?
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