|
gptkbp:instanceOf
|
mathematical equations
|
|
gptkbp:appliesTo
|
functionals
variational problems
|
|
gptkbp:category
|
gptkb:mathematics
partial differential equations
|
|
gptkbp:describes
|
stationary points of functionals
|
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gptkbp:expressedIn
|
necessary condition for extremum
|
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gptkbp:field
|
calculus of variations
mathematical physics
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gptkbp:firstPublished
|
gptkb:Joseph-Louis_Lagrange
gptkb:Leonhard_Euler
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gptkbp:formedBy
|
18th century
|
|
gptkbp:generalizes
|
gptkb:Fermat's_theorem_for_stationary_points
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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:Hamilton's_principle
gptkb:Noether's_theorem
gptkb:Lagrangian_mechanics
|
|
gptkbp:usedFor
|
deriving equations of motion
finding extremal functions
solving optimization problems in physics
|
|
gptkbp:usedIn
|
gptkb:classical_mechanics
gptkb:theoretical_physics
gptkb:optimal_control_theory
|
|
gptkbp:bfsParent
|
gptkb:Poincaré–Cartan_form
|
|
gptkbp:bfsLayer
|
6
|