December 5th, 2010, 03:07 AM  #1 
Newbie Joined: Dec 2010 Posts: 2 Thanks: 0  calculus of variations
my question is: optimization problem which is max integral of 0 to infinite: R=max_(I(u)) ?_0^??(1F(x))(xI^' (x))/(1+I(x)) For solving I used calculus of variations which I(x) has a closed form (eq.14) : I(x)={(1F(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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