Variational calculus studied methods for finding maximum and minimum values of functional. It has its inception in 1696 year by Johan Bernoulli with its glorious problem for the brachistochrone: to find a curve, connecting two points A and B , which does not lie in a vertical, so that heavy point descending on this curve from position A to reach position in for at least time. In functional analysis variational calculus takes the same space, as well as theory of maxima and minimum intensity in the classic analysis .udWe will prove a theorem for functional where prove that necessary condition for extreme of functional is the variation of functional is equal to zero. We describe the solution of the equation of Euler with example of application, such as the problem of brachistochrone.ud
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机译：变分微积分研究了寻找函数最大值和最小值的方法。它于1696年由约翰·伯努利（Johan Bernoulli）创立，当时它为腕足钟带来了光荣的问题：找到一条曲线，将不位于垂直方向的两个点A和B连接起来，以便重点从该位置A下降到该曲线至少在一段时间内到达位置。在泛函分析中，变分演算以及经典分析中的最大值和最小强度理论占用相同的空间。 ud我们将证明泛函的一个定理，其中证明泛函的极值的必要条件是泛函的变异等于零。我们以应用实例来描述欧拉方程的解，例如腕臂同步问题。 ud
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