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Math Help - how to check the existence for the strong and week extrema

  1. #1
    Junior Member sorv1986's Avatar
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    kolkata, india
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    Post how to check the existence for the strong and week extrema

    Consider the problem of minimizing

    ∫(y"(x))2(1 − (y"(x))2)dx, (lower limit=0,upper limit=1)
    subject to y(0) = y(1) = 0. Is the curve y(x) 5 0 a weak minimum (over C1 curves)? Is it a strong
    minimum (over a.e. C1 curves)? Is there another curve that is a strong minimum?


    how to solve that problem? how to check the existence for the strong and week extrema?

    thanks in advance.regards.
    Last edited by sorv1986; December 13th 2011 at 12:46 AM.
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