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December 5th, 2010, 04:07 AM   #1
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calculus of variations

my question is:

optimization problem which is max integral of 0 to infinite:


R=max_(I(u)) ?_0^??(1-F(x))(-xI^' (x))/(1+I(x))
For solving I used calculus of variations which I(x) has a closed form (eq.14) :
I(x)={(1-F(x)-xf(x))/(x^2 f(x))}

I didn't see in the book of calculus of variations about the integral from 0 to infinite? how I determine that should limit the boundary from (0, ?) to (x_0 , x_1) ? { I(0)=p and I(?)=0 }
If you guide me, I would appreciate it a lot! Thanks in advance.
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