## Euler-Lagrange Equations

What does it mean when it says "the integral of the Lagrange equation is stationary for the path followed by the particle"?

 PhysOrg.com science news on PhysOrg.com >> Front-row seats to climate change>> Attacking MRSA with metals from antibacterial clays>> New formula invented for microscope viewing, substitutes for federally controlled drug
 Is it just saying that the integral is a constant?
 I would assume it means that the action $$s = \int Ldt$$ is a stationary point (i.e. a min most likely as the action is minimised in real systems). You might want to wait for some confirmation however as I haven't studied Lagrangian mechanics in too much depth.

Recognitions:
Homework Help

## Euler-Lagrange Equations

A stationary point is a point where the derivative of a function is 0. To obtain the Euler-Lagrange equations we set the variation of the action to 0.