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Requirements of a functional

  1. Sep 12, 2005 #1
    what are the requirements of a functional J[y] to exist in the form that its minimum will yield to a differential equation?..i mean let be the functional with condition:

    [tex]J[y]=\int_{a}^{b}dx(p(x)(y`)^{2}+V(x)y^{2}) [/tex]

    [tex]\int_{a}^{b}y^{2}dx=C [/tex] with c a constant...

    then what conditions should p and V(x) function fulfill in order to the functional have an extremum?..
     
  2. jcsd
  3. Sep 12, 2005 #2

    Hurkyl

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    You do realize there's a bug in your LaTeX, don't you? When you make a post, you really should make sure it says what you think it's saying.

    (This isn't the first time you've done this: you've had some pretty serious bugs in your LaTeX before too)
     
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