|
gptkbp:instanceOf
|
gptkb:mathematical_equations
|
|
gptkbp:appliesTo
|
functionals
variational problems
|
|
gptkbp:category
|
gptkb:partial_differential_equations
calculus of variations
mathematical physics
|
|
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
|
gptkb:partial_differential_equations
|
|
gptkbp:namedAfter
|
gptkb:Joseph-Louis_Lagrange
gptkb:Leonhard_Euler
|
|
gptkbp:relatedTo
|
gptkb:Hamiltonian_mechanics
gptkb:action_principle
gptkb:Lagrangian_mechanics
|
|
gptkbp:usedIn
|
gptkb:classical_mechanics
gptkb:general_relativity
gptkb:optimal_control_theory
quantum mechanics
|
|
gptkbp:bfsParent
|
gptkb:principle_of_stationary_action
gptkb:Lagrangian_systems
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Euler-Lagrange equations
|