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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!

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# System of nonlinear integral equations

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