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Topic: Solution for a quasi Fredholm integral equation
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Posts: 1
Registered: 1/15/14
Solution for a quasi Fredholm integral equation
Posted: Jan 15, 2014 2:48 PM
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Hi All,
I have a quasi-Fredholm integral equation in an unknown density
function f(x)

f(x)=g(†K(x,y)f(y)dy) †(K(x,y)/x)f(y)dy

where K(x,y) is a known differentiable function and g is a known
probability density function. I would like to know about the conditions
on K and G for existence and uniqueness of a solution.

PS I know that K(x,y)/x=O(K(x,y)/y), so that K(x,y) may take form
as a polynomial with same order in x and y.

Thank you!

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