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:(adsbygoogle = window.adsbygoogle || []).push({});

[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?..

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# Requirements of a functional

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