KnowraEuler–Lagrange EquationLinked fromLinked fromThe 24 pages that link to Euler–Lagrange Equation, each with the reason it gives.All 24Broader topic 5Related 16Compared with 3Hamilton–Jacobi equationCompared with: It determines paths by varying trajectories; Hamilton–Jacobi theory solves for the action across space and time.Direct method in the calculus of variationsCompared with: It characterizes candidates, while the direct method proves a minimizer exists without first solving that equation.Pontryagin's maximum principleCompared with: The maximum principle generalizes this variational condition to controlled dynamical systems.