The Euler-Lagrange Theorem
作者： James M. Longuski , José J. Guzmán , John E. Prussing
DOI: 10.1007/978-1-4614-8945-0_3
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摘要: The brachistochrone problem posed by Johann Bernoulli was a new type of mathematical which required approach. Lagrange developed the calculus variations in he considered suboptimal paths nearby optimal one. He then showed that, for arbitrary but infinitesimal from path, function sought must obey differential equation now known as Euler-Lagrange equation.
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