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CSIR NET MATHEMATICAL SCIENCES

Calculus of Variations

 

Question

A.

(P) has no stationary function (extremal)

B.

y = 0 is the only stationary function (extremal) for (P)

C.

(P) has unique stationary function (extremal) y not identically equal to 0.

D.

(P) has infinitely many stationary functions (extremal).

Solution

Correct option is C

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