If a continuous function f satisfiesfor every smooth compactly supported test function η, then f=0 on (a,b).
∫abf(x)η(x)dx=0
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- First variation
- Variation
- Functional
- Calculus of variations
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The Fundamental Lemma of the Calculus of Variations is a key result that plays a crucial role in establishing necessary conditions for an extremum of functionals.