Teaching CSIR NET Mock Test Series Mathematical Science Calculus of Variations Conditions for Extrema
The functional \(\rm \int_0^1\left(y^{\prime 2}+x^2\right) d x\), y(1) = 1 achieves its
1
Weak maximum on all its extremals.
2
Strong minimum on all its extremals.
3
Weak maximum on some, but not all of its extremals.
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Strong minimum on some, but not on all of its extremals.