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Timeline for An extremal problem

Current License: CC BY-SA 3.0

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Feb 27, 2017 at 16:55 comment added djole In my question there is one $3$. If instead of $3$ we put any constant greater than 3, then the minimum of the functional will not be attained for $f(x)\equiv x$/
Feb 27, 2017 at 16:53 comment added Rodrigo de Azevedo $3$? What constant $a$ are you referring to?
Feb 27, 2017 at 16:46 comment added djole &Rodrigo de Azevedo. Instead of $3$ you can put any constant $a$, and $f(x)=x$ will be solution of Euler-Lagrange ODE. However it seems only for the constant $a=3$, it is true this. So "Proving that it minimizes the functional is left as an exercise for the reader" is impossible mission:)
Feb 27, 2017 at 11:57 history edited Rodrigo de Azevedo CC BY-SA 3.0
Minor improvements
Feb 27, 2017 at 11:46 history answered Rodrigo de Azevedo CC BY-SA 3.0