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21 views

asymptotics of the solution of an integral equation

Suppose we are given the integral equation $$ u(x;a) =v(x)+\int_0^a K(x,y)\,u(y;a)\,dy, $$ where $K(x,y)$ and $v(x)$ are known functions, and $a>0$ is a constant. What I am interested in is the ...
1
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76 views

Integral equation solution hint.

I am looking for the family of distributions that satisfy the following condition: $$\int_{-1}^{+\infty}f(x)x d x=0$$ and with this other conditions on $f(x)$: $$f(x)\ge 0 \text{ in }(-1,+\infty]$$ ...