Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
functionals
|
| gptkbp:category |
mathematical physics
partial differential equations variational principles |
| gptkbp:describes |
necessary condition for extremum of functional
|
| gptkbp:expressedIn |
d/dx (∂L/∂y') - ∂L/∂y = 0
|
| gptkbp:field |
calculus of variations
|
| gptkbp:firstPublished |
1755
|
| gptkbp:formedBy |
18th century
|
| gptkbp:generalizes |
gptkb:Fermat's_principle
gptkb:Newton's_laws |
| https://www.w3.org/2000/01/rdf-schema#label |
Euler-Lagrange equation
|
| gptkbp:namedAfter |
gptkb:Joseph-Louis_Lagrange
gptkb:Leonhard_Euler |
| gptkbp:relatedTo |
gptkb:Hamiltonian_mechanics
gptkb:Lagrangian_mechanics |
| gptkbp:usedIn |
gptkb:optimal_control_theory
mechanics physics |
| gptkbp:bfsParent |
gptkb:lion
|
| gptkbp:bfsLayer |
4
|