Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook