Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical equations
|
| gptkbp:appliesTo |
functionals
variational problems |
| gptkbp:category |
calculus of variations
mathematical physics partial differential equations |
| gptkbp:expressedIn |
necessary condition for extremum of functional
|
| gptkbp:field |
gptkb:theoretical_physics
calculus of variations |
| gptkbp:firstPublished |
gptkb:Joseph-Louis_Lagrange
gptkb:Leonhard_Euler |
| gptkbp:form |
d/dx (∂L/∂y') - ∂L/∂y = 0
|
| gptkbp:formedBy |
18th century
|
| gptkbp:generalizes |
gptkb:Newton's_laws_of_motion
|
| gptkbp:hasEquation |
partial differential equations
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler-Lagrange equations
|
| gptkbp:namedAfter |
gptkb:Joseph-Louis_Lagrange
gptkb:Leonhard_Euler |
| gptkbp:relatedTo |
gptkb:Hamiltonian_mechanics
gptkb:Lagrangian_mechanics action principle |
| gptkbp:usedIn |
gptkb:classical_mechanics
gptkb:general_relativity gptkb:optimal_control_theory quantum mechanics |
| gptkbp:bfsParent |
gptkb:Analytical_mechanics
|
| gptkbp:bfsLayer |
5
|