Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Extremum of a Functional?

  1. Mar 19, 2006 #1
    Let,s suppose we have a functional J and we want to obtain its extremum to obtain certain Physical or Math properties:

    [tex]\delta{J[f(x)]}=0 [/tex]

    Yes you will say to me " You can apply Euler-Lagrange Equation to it and generate a Diferential equation to obtain f"..of course is easier saying than doing..in fact for simple calculus of minimizing a function for example:

    [tex]g(x)=cos(x)+x^{2} [/tex] you get [tex]sen(x)=2x [/tex]

    of course you can,t solve the last equation "exactly" so you have to make some approach to it either iteratively or another method, my question is if to obtain the extremum of g(x) there is an iteratively method and if there is another method to obtain the extremum of a functional appart from using Euler-Lagrange equations..thanks.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you help with the solution or looking for help too?
Draft saved Draft deleted



Similar Discussions: Extremum of a Functional?
Loading...