Fundamental Lemma of Calculus of Variations

If is continuous and

for all infinitely differentiable , then

on the open interval .

See also

Calculus of Variations

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Cite this as:

Weisstein, Eric W. "Fundamental Lemma of Calculus of Variations." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FundamentalLemmaofCalculusofVariations.html

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