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System of nonlinear integral equations

by jannyhuggy
Tags: equations, integral, nonlinear
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Dec11-12, 03:20 PM
P: 5
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)


ANY comments are highly welcome!
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Dec12-12, 09:30 AM
P: 5
I tried two iteration methods but perturbations seem to be divergent. Perhaps any regularization ideas?

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