Fundamental lemma of calculus of variations
- 变分法基本引理（在数学里，特别是在变分法里，变分法基本引理是一种专门用来变换问题表述的引理，可以将问题从弱版表述改变为强版表述）
Fundamental lemma of calculus of variations
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abstract:
In mathematics, specifically in the calculus of variations, the fundamental lemma of the calculus of variations states that if the definite integral of the product of a continuous function f(x) and h(x) is zero, for all continuous functions h(x) that vanish at the endpoints of the range of integration and have their first two derivatives continuous, then f(x)=0. This lemma is used in deriving the Euler–Lagrange equation of the calculus of variations.
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